id sid tid token lemma pos asir-4814 1 1 applied apply VERB asir-4814 1 2 science science NOUN asir-4814 1 3 and and CCONJ asir-4814 1 4 innovative innovative ADJ asir-4814 1 5 research research NOUN asir-4814 1 6 issn issn VERB asir-4814 1 7 2474 2474 NUM asir-4814 1 8 - - SYM asir-4814 1 9 4972 4972 NUM asir-4814 1 10 ( ( PUNCT asir-4814 1 11 print print NOUN asir-4814 1 12 ) ) PUNCT asir-4814 1 13 issn issn VERB asir-4814 1 14 2474 2474 NUM asir-4814 1 15 - - SYM asir-4814 1 16 4980 4980 NUM asir-4814 1 17 ( ( PUNCT asir-4814 1 18 online online ADJ asir-4814 1 19 ) ) PUNCT asir-4814 1 20 vol vol NOUN asir-4814 1 21 . . PROPN asir-4814 2 1 6 6 NUM asir-4814 2 2 , , PUNCT asir-4814 2 3 no no INTJ asir-4814 2 4 . . NOUN asir-4814 2 5 2 2 NUM asir-4814 2 6 , , PUNCT asir-4814 2 7 2022 2022 NUM asir-4814 2 8 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir VERB asir-4814 2 9 71 71 NUM asir-4814 2 10 original original ADJ asir-4814 2 11 paper paper NOUN asir-4814 2 12 method method NOUN asir-4814 2 13 of of ADP asir-4814 2 14 electrostatic electrostatic ADJ asir-4814 2 15 analogy analogy NOUN asir-4814 2 16 boris boris PROPN asir-4814 2 17 levin1 levin1 PROPN asir-4814 3 1 1 1 NUM asir-4814 3 2 lod lod PROPN asir-4814 3 3 , , PUNCT asir-4814 3 4 israel israel PROPN asir-4814 3 5 , , PUNCT asir-4814 3 6 e e NOUN asir-4814 3 7 - - NOUN asir-4814 3 8 mail mail NOUN asir-4814 3 9 : : PUNCT asir-4814 3 10 levinpaker@gmail.com levinpaker@gmail.com PROPN asir-4814 3 11 received receive VERB asir-4814 3 12 : : PUNCT asir-4814 3 13 may may AUX asir-4814 3 14 2 2 NUM asir-4814 3 15 , , PUNCT asir-4814 3 16 2022 2022 NUM asir-4814 3 17 accepted accept VERB asir-4814 3 18 : : PUNCT asir-4814 3 19 may may AUX asir-4814 3 20 15 15 NUM asir-4814 3 21 , , PUNCT asir-4814 3 22 2022 2022 NUM asir-4814 3 23 online online ADV asir-4814 3 24 published publish VERB asir-4814 3 25 : : PUNCT asir-4814 3 26 may may AUX asir-4814 3 27 21 21 NUM asir-4814 3 28 , , PUNCT asir-4814 3 29 2022 2022 NUM asir-4814 3 30 doi:10.22158 doi:10.22158 NOUN asir-4814 3 31 / / SYM asir-4814 3 32 asir.v6n2p71 asir.v6n2p71 NOUN asir-4814 3 33 url url PROPN asir-4814 3 34 : : PUNCT asir-4814 3 35 http://doi.org/10.22158/asir.v6n2p71 http://doi.org/10.22158/asir.v6n2p71 DET asir-4814 3 36 abstract abstract ADJ asir-4814 3 37 it it PRON asir-4814 3 38 is be AUX asir-4814 3 39 considered consider VERB asir-4814 3 40 the the DET asir-4814 3 41 analysis analysis NOUN asir-4814 3 42 method method NOUN asir-4814 3 43 for for ADP asir-4814 3 44 electromagnetic electromagnetic ADJ asir-4814 3 45 fields field NOUN asir-4814 3 46 and and CCONJ asir-4814 3 47 directional directional ADJ asir-4814 3 48 characteristics characteristic NOUN asir-4814 3 49 of of ADP asir-4814 3 50 antenna antenna NOUN asir-4814 3 51 arrays array VERB asir-4814 3 52 consisting consist VERB asir-4814 3 53 of of ADP asir-4814 3 54 parallel parallel ADJ asir-4814 3 55 linear linear NOUN asir-4814 3 56 radiators radiator NOUN asir-4814 3 57 based base VERB asir-4814 3 58 on on ADP asir-4814 3 59 the the DET asir-4814 3 60 calculation calculation NOUN asir-4814 3 61 of of ADP asir-4814 3 62 the the DET asir-4814 3 63 electrostatic electrostatic ADJ asir-4814 3 64 fields field NOUN asir-4814 3 65 of of ADP asir-4814 3 66 charges charge NOUN asir-4814 3 67 located locate VERB asir-4814 3 68 on on ADP asir-4814 3 69 parallel parallel ADJ asir-4814 3 70 wires wire NOUN asir-4814 3 71 . . PUNCT asir-4814 4 1 it it PRON asir-4814 4 2 is be AUX asir-4814 4 3 demonstrated demonstrate VERB asir-4814 4 4 the the DET asir-4814 4 5 advantage advantage NOUN asir-4814 4 6 of of ADP asir-4814 4 7 using use VERB asir-4814 4 8 radiators radiator NOUN asir-4814 4 9 with with ADP asir-4814 4 10 in in ADP asir-4814 4 11 - - PUNCT asir-4814 4 12 phase phase NOUN asir-4814 4 13 current current ADJ asir-4814 4 14 distribution distribution NOUN asir-4814 4 15 . . PUNCT asir-4814 5 1 it it PRON asir-4814 5 2 is be AUX asir-4814 5 3 shown show VERB asir-4814 5 4 that that SCONJ asir-4814 5 5 the the DET asir-4814 5 6 application application NOUN asir-4814 5 7 of of ADP asir-4814 5 8 radiators radiator NOUN asir-4814 5 9 with with ADP asir-4814 5 10 in in ADP asir-4814 5 11 - - PUNCT asir-4814 5 12 phase phase NOUN asir-4814 5 13 current current ADJ asir-4814 5 14 distribution distribution NOUN asir-4814 5 15 allows allow VERB asir-4814 5 16 to to PART asir-4814 5 17 decrease decrease VERB asir-4814 5 18 the the DET asir-4814 5 19 length length NOUN asir-4814 5 20 of of ADP asir-4814 5 21 antenna antenna NOUN asir-4814 5 22 array array NOUN asir-4814 5 23 and and CCONJ asir-4814 5 24 to to PART asir-4814 5 25 provide provide VERB asir-4814 5 26 the the DET asir-4814 5 27 high high ADJ asir-4814 5 28 directivity directivity NOUN asir-4814 5 29 in in ADP asir-4814 5 30 a a DET asir-4814 5 31 wide wide ADJ asir-4814 5 32 frequency frequency NOUN asir-4814 5 33 range range NOUN asir-4814 5 34 . . PUNCT asir-4814 6 1 it it PRON asir-4814 6 2 is be AUX asir-4814 6 3 stated state VERB asir-4814 6 4 the the DET asir-4814 6 5 task task NOUN asir-4814 6 6 of of ADP asir-4814 6 7 optimization optimization NOUN asir-4814 6 8 of of ADP asir-4814 6 9 considered consider VERB asir-4814 6 10 arrays array NOUN asir-4814 6 11 by by ADP asir-4814 6 12 methods method NOUN asir-4814 6 13 of of ADP asir-4814 6 14 mathematical mathematical ADJ asir-4814 6 15 programming programming NOUN asir-4814 6 16 . . PUNCT asir-4814 7 1 keywords keyword NOUN asir-4814 7 2 antenna antenna NOUN asir-4814 7 3 theory theory NOUN asir-4814 7 4 , , PUNCT asir-4814 7 5 directional directional ADJ asir-4814 7 6 antennas antenna NOUN asir-4814 7 7 , , PUNCT asir-4814 7 8 in in ADP asir-4814 7 9 - - PUNCT asir-4814 7 10 phase phase NOUN asir-4814 7 11 current current ADJ asir-4814 7 12 distribution distribution NOUN asir-4814 7 13 , , PUNCT asir-4814 7 14 optimization optimization NOUN asir-4814 7 15 1 1 NUM asir-4814 7 16 . . PUNCT asir-4814 8 1 introduction introduction NOUN asir-4814 8 2 the the DET asir-4814 8 3 purpose purpose NOUN asir-4814 8 4 of of ADP asir-4814 8 5 antenna antenna NOUN asir-4814 8 6 synthesis synthesis NOUN asir-4814 8 7 is be AUX asir-4814 8 8 creating create VERB asir-4814 8 9 antennas antenna NOUN asir-4814 8 10 with with ADP asir-4814 8 11 high high ADJ asir-4814 8 12 electrical electrical ADJ asir-4814 8 13 characteristics characteristic NOUN asir-4814 8 14 . . PUNCT asir-4814 9 1 in in ADP asir-4814 9 2 order order NOUN asir-4814 9 3 to to PART asir-4814 9 4 solve solve VERB asir-4814 9 5 this this DET asir-4814 9 6 problem problem NOUN asir-4814 9 7 engineers engineer NOUN asir-4814 9 8 tried try VERB asir-4814 9 9 for for ADP asir-4814 9 10 a a DET asir-4814 9 11 long long ADJ asir-4814 9 12 time time NOUN asir-4814 9 13 to to PART asir-4814 9 14 find find VERB asir-4814 9 15 a a DET asir-4814 9 16 law law NOUN asir-4814 9 17 of of ADP asir-4814 9 18 current current ADJ asir-4814 9 19 distribution distribution NOUN asir-4814 9 20 , , PUNCT asir-4814 9 21 which which PRON asir-4814 9 22 provides provide VERB asir-4814 9 23 required required ADJ asir-4814 9 24 characteristics characteristic NOUN asir-4814 9 25 . . PUNCT asir-4814 10 1 the the DET asir-4814 10 2 issue issue NOUN asir-4814 10 3 of of ADP asir-4814 10 4 creating create VERB asir-4814 10 5 the the DET asir-4814 10 6 desired desire VERB asir-4814 10 7 distribution distribution NOUN asir-4814 10 8 of of ADP asir-4814 10 9 the the DET asir-4814 10 10 current current NOUN asir-4814 10 11 remained remain VERB asir-4814 10 12 open open ADJ asir-4814 10 13 . . PUNCT asir-4814 11 1 the the DET asir-4814 11 2 task task NOUN asir-4814 11 3 of of ADP asir-4814 11 4 choosing choose VERB asir-4814 11 5 of of ADP asir-4814 11 6 antenna antenna NOUN asir-4814 11 7 elements element NOUN asir-4814 11 8 and and CCONJ asir-4814 11 9 their their PRON asir-4814 11 10 dimensions dimension NOUN asir-4814 11 11 with with ADP asir-4814 11 12 the the DET asir-4814 11 13 aim aim NOUN asir-4814 11 14 of of ADP asir-4814 11 15 optimizing optimize VERB asir-4814 11 16 antenna antenna NOUN asir-4814 11 17 characteristics characteristic NOUN asir-4814 11 18 was be AUX asir-4814 11 19 first first ADV asir-4814 11 20 staged stage VERB asir-4814 11 21 as as ADP asir-4814 11 22 the the DET asir-4814 11 23 task task NOUN asir-4814 11 24 of of ADP asir-4814 11 25 mathematical mathematical ADJ asir-4814 11 26 programming programming NOUN asir-4814 11 27 in in ADP asir-4814 11 28 relation relation NOUN asir-4814 11 29 to to ADP asir-4814 11 30 the the DET asir-4814 11 31 yagi yagi ADJ asir-4814 11 32 - - PUNCT asir-4814 11 33 uda uda NOUN asir-4814 11 34 antenna antenna NOUN asir-4814 11 35 ( ( PUNCT asir-4814 11 36 chaplin chaplin PROPN asir-4814 11 37 , , PUNCT asir-4814 11 38 1969 1969 NUM asir-4814 11 39 ; ; PUNCT asir-4814 11 40 chen chen PROPN asir-4814 11 41 & & CCONJ asir-4814 11 42 cheng cheng PROPN asir-4814 11 43 , , PUNCT asir-4814 11 44 1975 1975 NUM asir-4814 11 45 ) ) PUNCT asir-4814 11 46 . . PUNCT asir-4814 12 1 the the DET asir-4814 12 2 task task NOUN asir-4814 12 3 solution solution NOUN asir-4814 12 4 confirmed confirm VERB asir-4814 12 5 rightness rightness NOUN asir-4814 12 6 of of ADP asir-4814 12 7 chosen choose VERB asir-4814 12 8 approach approach NOUN asir-4814 12 9 . . PUNCT asir-4814 13 1 the the DET asir-4814 13 2 more more ADV asir-4814 13 3 general general ADJ asir-4814 13 4 problem problem NOUN asir-4814 13 5 is be AUX asir-4814 13 6 a a DET asir-4814 13 7 problem problem NOUN asir-4814 13 8 of of ADP asir-4814 13 9 creating create VERB asir-4814 13 10 a a DET asir-4814 13 11 wideband wideband NOUN asir-4814 13 12 radiator radiator NOUN asir-4814 13 13 . . PUNCT asir-4814 14 1 it it PRON asir-4814 14 2 consists consist VERB asir-4814 14 3 in in ADP asir-4814 14 4 determining determine VERB asir-4814 14 5 a a DET asir-4814 14 6 type type NOUN asir-4814 14 7 and and CCONJ asir-4814 14 8 magnitudes magnitude NOUN asir-4814 14 9 of of ADP asir-4814 14 10 concentrated concentrated ADJ asir-4814 14 11 loads load NOUN asir-4814 14 12 , , PUNCT asir-4814 14 13 which which PRON asir-4814 14 14 are be AUX asir-4814 14 15 placed place VERB asir-4814 14 16 along along ADP asir-4814 14 17 a a DET asir-4814 14 18 linear linear ADJ asir-4814 14 19 radiator radiator NOUN asir-4814 14 20 and and CCONJ asir-4814 14 21 provide provide VERB asir-4814 14 22 in in ADP asir-4814 14 23 a a DET asir-4814 14 24 given give VERB asir-4814 14 25 frequency frequency NOUN asir-4814 14 26 band band NOUN asir-4814 14 27 high high ADJ asir-4814 14 28 electrical electrical ADJ asir-4814 14 29 characteristics characteristic NOUN asir-4814 14 30 , , PUNCT asir-4814 14 31 including include VERB asir-4814 14 32 matching matching NOUN asir-4814 14 33 level level NOUN asir-4814 14 34 , , PUNCT asir-4814 14 35 efficiency efficiency NOUN asir-4814 14 36 and and CCONJ asir-4814 14 37 required require VERB asir-4814 14 38 directional directional ADJ asir-4814 14 39 pattern pattern NOUN asir-4814 14 40 ( ( PUNCT asir-4814 14 41 levin levin PROPN asir-4814 14 42 , , PUNCT asir-4814 14 43 1998 1998 NUM asir-4814 14 44 ) ) PUNCT asir-4814 14 45 . . PUNCT asir-4814 15 1 its its PRON asir-4814 15 2 solution solution NOUN asir-4814 15 3 was be AUX asir-4814 15 4 based base VERB asir-4814 15 5 on on ADP asir-4814 15 6 understanding understand VERB asir-4814 15 7 advantages advantage NOUN asir-4814 15 8 of of ADP asir-4814 15 9 the the DET asir-4814 15 10 in in ADP asir-4814 15 11 - - PUNCT asir-4814 15 12 phase phase NOUN asir-4814 15 13 current current ADJ asir-4814 15 14 distribution distribution NOUN asir-4814 15 15 and and CCONJ asir-4814 15 16 on on ADP asir-4814 15 17 the the DET asir-4814 15 18 hypothesis hypothesis NOUN asir-4814 15 19 of of ADP asir-4814 15 20 hallen hallen PROPN asir-4814 15 21 about about ADP asir-4814 15 22 usefulness usefulness NOUN asir-4814 15 23 of of ADP asir-4814 15 24 capacitive capacitive ADJ asir-4814 15 25 loads load NOUN asir-4814 15 26 , , PUNCT asir-4814 15 27 whose whose DET asir-4814 15 28 magnitudes magnitude NOUN asir-4814 15 29 are be AUX asir-4814 15 30 changed change VERB asir-4814 15 31 along along ADP asir-4814 15 32 a a DET asir-4814 15 33 radiator radiator NOUN asir-4814 15 34 axis axis NOUN asir-4814 15 35 in in ADP asir-4814 15 36 accordance accordance NOUN asir-4814 15 37 with with ADP asir-4814 15 38 linear linear ADJ asir-4814 15 39 or or CCONJ asir-4814 15 40 exponential exponential ADJ asir-4814 15 41 law law NOUN asir-4814 15 42 . . PUNCT asir-4814 16 1 selected select VERB asir-4814 16 2 approach approach NOUN asir-4814 16 3 confirmed confirm VERB asir-4814 16 4 the the DET asir-4814 16 5 hypothesis hypothesis NOUN asir-4814 16 6 of of ADP asir-4814 16 7 hallen hallen PROPN asir-4814 16 8 , , PUNCT asir-4814 16 9 demonstrated demonstrate VERB asir-4814 16 10 the the DET asir-4814 16 11 rightness rightness NOUN asir-4814 16 12 of of ADP asir-4814 16 13 applying apply VERB asir-4814 16 14 capacitive capacitive ADJ asir-4814 16 15 loads load NOUN asir-4814 16 16 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 16 17 applied apply VERB asir-4814 16 18 science science NOUN asir-4814 16 19 and and CCONJ asir-4814 16 20 innovative innovative ADJ asir-4814 16 21 research research NOUN asir-4814 16 22 vol vol NOUN asir-4814 16 23 . . PROPN asir-4814 17 1 6 6 NUM asir-4814 17 2 , , PUNCT asir-4814 17 3 no no INTJ asir-4814 17 4 . . NOUN asir-4814 17 5 2 2 NUM asir-4814 17 6 , , PUNCT asir-4814 17 7 2022 2022 NUM asir-4814 17 8 72 72 NUM asir-4814 17 9 published publish VERB asir-4814 17 10 by by ADP asir-4814 17 11 scholink scholink PROPN asir-4814 17 12 inc inc PROPN asir-4814 17 13 . . PROPN asir-4814 18 1 and and CCONJ asir-4814 18 2 gave give VERB asir-4814 18 3 numerical numerical ADJ asir-4814 18 4 results result NOUN asir-4814 18 5 . . PUNCT asir-4814 19 1 the the DET asir-4814 19 2 first first ADJ asir-4814 19 3 of of ADP asir-4814 19 4 these these PRON asir-4814 19 5 was be AUX asir-4814 19 6 determination determination NOUN asir-4814 19 7 of of ADP asir-4814 19 8 loads load NOUN asir-4814 19 9 magnitudes magnitude NOUN asir-4814 19 10 , , PUNCT asir-4814 19 11 which which PRON asir-4814 19 12 provide provide VERB asir-4814 19 13 in in ADP asir-4814 19 14 a a DET asir-4814 19 15 given give VERB asir-4814 19 16 frequency frequency NOUN asir-4814 19 17 range range NOUN asir-4814 19 18 the the DET asir-4814 19 19 required require VERB asir-4814 19 20 current current ADJ asir-4814 19 21 distribution distribution NOUN asir-4814 19 22 . . PUNCT asir-4814 20 1 the the DET asir-4814 20 2 second second ADJ asir-4814 20 3 result result NOUN asir-4814 20 4 is be AUX asir-4814 20 5 decreasing decrease VERB asir-4814 20 6 distortion distortion NOUN asir-4814 20 7 of of ADP asir-4814 20 8 directional directional ADJ asir-4814 20 9 patterns pattern NOUN asir-4814 20 10 by by ADP asir-4814 20 11 closely closely ADV asir-4814 20 12 spaced space VERB asir-4814 20 13 superstructures superstructure NOUN asir-4814 20 14 with with ADP asir-4814 20 15 help help NOUN asir-4814 20 16 of of ADP asir-4814 20 17 increasing increase VERB asir-4814 20 18 height height NOUN asir-4814 20 19 of of ADP asir-4814 20 20 antennas antenna NOUN asir-4814 20 21 and and CCONJ asir-4814 20 22 using use VERB asir-4814 20 23 loads load NOUN asir-4814 20 24 providing provide VERB asir-4814 20 25 an an DET asir-4814 20 26 operation operation NOUN asir-4814 20 27 in in ADP asir-4814 20 28 required require VERB asir-4814 20 29 frequensies frequensie NOUN asir-4814 20 30 band band NOUN asir-4814 20 31 . . PUNCT asir-4814 21 1 finally finally ADV asir-4814 21 2 , , PUNCT asir-4814 21 3 the the DET asir-4814 21 4 method method NOUN asir-4814 21 5 was be AUX asir-4814 21 6 used use VERB asir-4814 21 7 for for ADP asir-4814 21 8 selecting select VERB asir-4814 21 9 loads load NOUN asir-4814 21 10 in in ADP asir-4814 21 11 the the DET asir-4814 21 12 wires wire NOUN asir-4814 21 13 of of ADP asir-4814 21 14 a a DET asir-4814 21 15 symmetrical symmetrical ADJ asir-4814 21 16 v v NOUN asir-4814 21 17 - - PUNCT asir-4814 21 18 antenna antenna NOUN asir-4814 21 19 in in ADP asir-4814 21 20 order order NOUN asir-4814 21 21 to to PART asir-4814 21 22 expand expand VERB asir-4814 21 23 significantly significantly ADV asir-4814 21 24 the the DET asir-4814 21 25 frequencies frequency NOUN asir-4814 21 26 band band VERB asir-4814 21 27 , , PUNCT asir-4814 21 28 in in ADP asir-4814 21 29 which which PRON asir-4814 21 30 this this DET asir-4814 21 31 antenna antenna NOUN asir-4814 21 32 has have VERB asir-4814 21 33 high high ADJ asir-4814 21 34 directivity directivity NOUN asir-4814 21 35 in in ADP asir-4814 21 36 the the DET asir-4814 21 37 direction direction NOUN asir-4814 21 38 of of ADP asir-4814 21 39 the the DET asir-4814 21 40 bisector bisector NOUN asir-4814 21 41 of of ADP asir-4814 21 42 its its PRON asir-4814 21 43 angular angular ADJ asir-4814 21 44 aperture aperture NOUN asir-4814 21 45 . . PUNCT asir-4814 22 1 these these DET asir-4814 22 2 tasks task NOUN asir-4814 22 3 are be AUX asir-4814 22 4 consistently consistently ADV asir-4814 22 5 considered consider VERB asir-4814 22 6 in in ADP asir-4814 22 7 ( ( PUNCT asir-4814 22 8 levin levin PROPN asir-4814 22 9 , , PUNCT asir-4814 22 10 2017 2017 NUM asir-4814 22 11 ) ) PUNCT asir-4814 22 12 . . PUNCT asir-4814 23 1 based base VERB asir-4814 23 2 on on ADP asir-4814 23 3 these these DET asir-4814 23 4 results result NOUN asir-4814 23 5 , , PUNCT asir-4814 23 6 it it PRON asir-4814 23 7 was be AUX asir-4814 23 8 decided decide VERB asir-4814 23 9 to to PART asir-4814 23 10 consider consider VERB asir-4814 23 11 the the DET asir-4814 23 12 possibility possibility NOUN asir-4814 23 13 of of ADP asir-4814 23 14 using use VERB asir-4814 23 15 capacitive capacitive ADJ asir-4814 23 16 loads load NOUN asir-4814 23 17 in in ADP asir-4814 23 18 directional directional ADJ asir-4814 23 19 antennas antenna NOUN asir-4814 23 20 , , PUNCT asir-4814 23 21 in in ADP asir-4814 23 22 particular particular ADJ asir-4814 23 23 to to PART asir-4814 23 24 use use VERB asir-4814 23 25 in in ADP asir-4814 23 26 - - PUNCT asir-4814 23 27 phase phase NOUN asir-4814 23 28 currents current NOUN asir-4814 23 29 in in ADP asir-4814 23 30 a a DET asir-4814 23 31 director director NOUN asir-4814 23 32 - - PUNCT asir-4814 23 33 type type NOUN asir-4814 23 34 antenna antenna NOUN asir-4814 23 35 . . PUNCT asir-4814 24 1 during during ADP asir-4814 24 2 the the DET asir-4814 24 3 work work NOUN asir-4814 24 4 a a DET asir-4814 24 5 reasonable reasonable ADJ asir-4814 24 6 sequence sequence NOUN asir-4814 24 7 of of ADP asir-4814 24 8 solving solve VERB asir-4814 24 9 each each DET asir-4814 24 10 problem problem NOUN asir-4814 24 11 was be AUX asir-4814 24 12 defined define VERB asir-4814 24 13 . . PUNCT asir-4814 25 1 at at ADP asir-4814 25 2 the the DET asir-4814 25 3 first first ADJ asir-4814 25 4 stage stage NOUN asir-4814 25 5 an an DET asir-4814 25 6 approximate approximate ADJ asir-4814 25 7 method method NOUN asir-4814 25 8 of of ADP asir-4814 25 9 solution solution NOUN asir-4814 25 10 must must AUX asir-4814 25 11 be be AUX asir-4814 25 12 proposed propose VERB asir-4814 25 13 . . PUNCT asir-4814 26 1 its its PRON asir-4814 26 2 results result NOUN asir-4814 26 3 are be AUX asir-4814 26 4 used use VERB asir-4814 26 5 at at ADP asir-4814 26 6 the the DET asir-4814 26 7 second second ADJ asir-4814 26 8 stage stage NOUN asir-4814 26 9 as as ADP asir-4814 26 10 initial initial ADJ asir-4814 26 11 values value NOUN asir-4814 26 12 for for ADP asir-4814 26 13 numerical numerical ADJ asir-4814 26 14 solution solution NOUN asir-4814 26 15 of of ADP asir-4814 26 16 the the DET asir-4814 26 17 problem problem NOUN asir-4814 26 18 by by ADP asir-4814 26 19 the the DET asir-4814 26 20 method method NOUN asir-4814 26 21 of of ADP asir-4814 26 22 mathematical mathematical ADJ asir-4814 26 23 programming programming NOUN asir-4814 26 24 . . PUNCT asir-4814 27 1 for for ADP asir-4814 27 2 analyzing analyze VERB asir-4814 27 3 the the DET asir-4814 27 4 radiator radiator NOUN asir-4814 27 5 with with ADP asir-4814 27 6 loads load NOUN asir-4814 27 7 , , PUNCT asir-4814 27 8 the the DET asir-4814 27 9 method method NOUN asir-4814 27 10 of of ADP asir-4814 27 11 two two NUM asir-4814 27 12 - - PUNCT asir-4814 27 13 wire wire NOUN asir-4814 27 14 impedance impedance NOUN asir-4814 27 15 long long ADJ asir-4814 27 16 line line NOUN asir-4814 27 17 and and CCONJ asir-4814 27 18 the the DET asir-4814 27 19 method method NOUN asir-4814 27 20 of of ADP asir-4814 27 21 two two NUM asir-4814 27 22 - - PUNCT asir-4814 27 23 wire wire NOUN asir-4814 27 24 metal metal NOUN asir-4814 27 25 long long ADJ asir-4814 27 26 line line NOUN asir-4814 27 27 with with ADP asir-4814 27 28 loads load NOUN asir-4814 27 29 were be AUX asir-4814 27 30 used use VERB asir-4814 27 31 as as ADP asir-4814 27 32 approximate approximate ADJ asir-4814 27 33 methods method NOUN asir-4814 27 34 . . PUNCT asir-4814 28 1 effectiveness effectiveness NOUN asir-4814 28 2 of of ADP asir-4814 28 3 the the DET asir-4814 28 4 such such ADJ asir-4814 28 5 methodology methodology NOUN asir-4814 28 6 is be AUX asir-4814 28 7 obvious obvious ADJ asir-4814 28 8 compared compare VERB asir-4814 28 9 with with ADP asir-4814 28 10 helpless helpless ADJ asir-4814 28 11 method method NOUN asir-4814 28 12 of of ADP asir-4814 28 13 trial trial NOUN asir-4814 28 14 and and CCONJ asir-4814 28 15 error error NOUN asir-4814 28 16 . . PUNCT asir-4814 29 1 in in ADP asir-4814 29 2 the the DET asir-4814 29 3 case case NOUN asir-4814 29 4 of of ADP asir-4814 29 5 antennas antennas NOUN asir-4814 29 6 systems system NOUN asir-4814 29 7 consisting consist VERB asir-4814 29 8 of of ADP asir-4814 29 9 parallel parallel ADJ asir-4814 29 10 linear linear NOUN asir-4814 29 11 radiators radiator NOUN asir-4814 29 12 , , PUNCT asir-4814 29 13 the the DET asir-4814 29 14 method method NOUN asir-4814 29 15 of of ADP asir-4814 29 16 electrostatic electrostatic ADJ asir-4814 29 17 analogy analogy NOUN asir-4814 29 18 can can AUX asir-4814 29 19 be be AUX asir-4814 29 20 used use VERB asir-4814 29 21 as as ADP asir-4814 29 22 an an DET asir-4814 29 23 approximated approximated ADJ asir-4814 29 24 method method NOUN asir-4814 29 25 of of ADP asir-4814 29 26 this this DET asir-4814 29 27 type type NOUN asir-4814 29 28 . . PUNCT asir-4814 30 1 the the DET asir-4814 30 2 specified specified ADJ asir-4814 30 3 method method NOUN asir-4814 30 4 and and CCONJ asir-4814 30 5 the the DET asir-4814 30 6 procedure procedure NOUN asir-4814 30 7 of of ADP asir-4814 30 8 its its PRON asir-4814 30 9 application application NOUN asir-4814 30 10 are be AUX asir-4814 30 11 described describe VERB asir-4814 30 12 in in ADP asir-4814 30 13 section section NOUN asir-4814 30 14 2 2 NUM asir-4814 30 15 . . PUNCT asir-4814 31 1 in in ADP asir-4814 31 2 section section NOUN asir-4814 31 3 3 3 NUM asir-4814 31 4 the the DET asir-4814 31 5 known know VERB asir-4814 31 6 variant variant NOUN asir-4814 31 7 of of ADP asir-4814 31 8 directional directional ADJ asir-4814 31 9 antenna antenna NOUN asir-4814 31 10 is be AUX asir-4814 31 11 considered consider VERB asir-4814 31 12 as as ADP asir-4814 31 13 an an DET asir-4814 31 14 example example NOUN asir-4814 31 15 . . PUNCT asir-4814 32 1 this this DET asir-4814 32 2 antenna antenna NOUN asir-4814 32 3 was be AUX asir-4814 32 4 developed develop VERB asir-4814 32 5 as as ADP asir-4814 32 6 result result NOUN asir-4814 32 7 of of ADP asir-4814 32 8 the the DET asir-4814 32 9 first first ADJ asir-4814 32 10 profound profound ADJ asir-4814 32 11 efforts effort NOUN asir-4814 32 12 devoted devote VERB asir-4814 32 13 to to ADP asir-4814 32 14 the the DET asir-4814 32 15 optimization optimization NOUN asir-4814 32 16 of of ADP asir-4814 32 17 the the DET asir-4814 32 18 such such ADJ asir-4814 32 19 antennas antenna NOUN asir-4814 32 20 . . PUNCT asir-4814 33 1 the the DET asir-4814 33 2 method method NOUN asir-4814 33 3 of of ADP asir-4814 33 4 electrostatic electrostatic ADJ asir-4814 33 5 analogy analogy NOUN asir-4814 33 6 allow allow VERB asir-4814 33 7 us we PRON asir-4814 33 8 to to PART asir-4814 33 9 consider consider VERB asir-4814 33 10 the the DET asir-4814 33 11 issues issue NOUN asir-4814 33 12 of of ADP asir-4814 33 13 expanding expand VERB asir-4814 33 14 the the DET asir-4814 33 15 operating operate VERB asir-4814 33 16 range range NOUN asir-4814 33 17 of of ADP asir-4814 33 18 directional directional ADJ asir-4814 33 19 antenna antenna NOUN asir-4814 33 20 and and CCONJ asir-4814 33 21 to to PART asir-4814 33 22 apply apply VERB asir-4814 33 23 obtained obtain VERB asir-4814 33 24 results result NOUN asir-4814 33 25 to to ADP asir-4814 33 26 a a DET asir-4814 33 27 log log NOUN asir-4814 33 28 - - PUNCT asir-4814 33 29 periodic periodic NOUN asir-4814 33 30 antenna antenna NOUN asir-4814 33 31 . . PUNCT asir-4814 34 1 the the DET asir-4814 34 2 results result NOUN asir-4814 34 3 of of ADP asir-4814 34 4 using use VERB asir-4814 34 5 the the DET asir-4814 34 6 approximate approximate ADJ asir-4814 34 7 method method NOUN asir-4814 34 8 to to ADP asir-4814 34 9 the the DET asir-4814 34 10 calculation calculation NOUN asir-4814 34 11 of of ADP asir-4814 34 12 a a DET asir-4814 34 13 log log NOUN asir-4814 34 14 - - PUNCT asir-4814 34 15 periodic periodic NOUN asir-4814 34 16 antenna antenna NOUN asir-4814 34 17 are be AUX asir-4814 34 18 given give VERB asir-4814 34 19 in in ADP asir-4814 34 20 section section NOUN asir-4814 34 21 4 4 NUM asir-4814 34 22 . . PUNCT asir-4814 34 23 based base VERB asir-4814 34 24 on on ADP asir-4814 34 25 these these DET asir-4814 34 26 results result NOUN asir-4814 34 27 , , PUNCT asir-4814 34 28 the the DET asir-4814 34 29 problem problem NOUN asir-4814 34 30 of of ADP asir-4814 34 31 applying apply VERB asir-4814 34 32 the the DET asir-4814 34 33 mathematical mathematical ADJ asir-4814 34 34 programming programming NOUN asir-4814 34 35 method method NOUN asir-4814 34 36 to to ADP asir-4814 34 37 this this DET asir-4814 34 38 antenna antenna NOUN asir-4814 34 39 was be AUX asir-4814 34 40 stated state VERB asir-4814 34 41 . . PUNCT asir-4814 35 1 2 2 X asir-4814 35 2 . . X asir-4814 35 3 method method NOUN asir-4814 35 4 of of ADP asir-4814 35 5 electrostatic electrostatic ADJ asir-4814 35 6 analogy analogy NOUN asir-4814 35 7 basic basic ADJ asir-4814 35 8 directional directional ADJ asir-4814 35 9 characteristics characteristic NOUN asir-4814 35 10 of of ADP asir-4814 35 11 antennas antenna NOUN asir-4814 35 12 are be AUX asir-4814 35 13 the the DET asir-4814 35 14 two two NUM asir-4814 35 15 characteristics characteristic NOUN asir-4814 35 16 : : PUNCT asir-4814 35 17 directivity directivity PROPN asir-4814 35 18 d d PROPN asir-4814 35 19 and and CCONJ asir-4814 35 20 pattern pattern NOUN asir-4814 35 21 factor factor NOUN asir-4814 35 22 pf pf PROPN asir-4814 35 23 . . PUNCT asir-4814 36 1 the the DET asir-4814 36 2 directivity directivity NOUN asir-4814 36 3 is be AUX asir-4814 36 4 the the DET asir-4814 36 5 ratio ratio NOUN asir-4814 36 6 of of ADP asir-4814 36 7 radiation radiation NOUN asir-4814 36 8 intensity intensity NOUN asir-4814 36 9 in in ADP asir-4814 36 10 the the DET asir-4814 36 11 direction direction NOUN asir-4814 36 12 of of ADP asir-4814 36 13 maximum maximum NOUN asir-4814 36 14 to to ADP asir-4814 36 15 the the DET asir-4814 36 16 average average ADJ asir-4814 36 17 value value NOUN asir-4814 36 18 of of ADP asir-4814 36 19 intensity intensity NOUN asir-4814 36 20 in in ADP asir-4814 36 21 all all DET asir-4814 36 22 directions direction NOUN asir-4814 36 23 ( ( PUNCT asir-4814 36 24 to to ADP asir-4814 36 25 the the DET asir-4814 36 26 value value NOUN asir-4814 36 27 of of ADP asir-4814 36 28 isotropic isotropic ADJ asir-4814 36 29 radiation radiation NOUN asir-4814 36 30 ) ) PUNCT asir-4814 36 31 . . PUNCT asir-4814 37 1 in in ADP asir-4814 37 2 accordance accordance NOUN asir-4814 37 3 with with ADP asir-4814 37 4 this this DET asir-4814 37 5 formulation formulation NOUN asir-4814 37 6 , , PUNCT asir-4814 37 7 the the DET asir-4814 37 8 directivity directivity NOUN asir-4814 37 9 is be AUX asir-4814 37 10 the the DET asir-4814 37 11 coefficient coefficient NOUN asir-4814 37 12 of of ADP asir-4814 37 13 increasing increase VERB asir-4814 37 14 total total ADJ asir-4814 37 15 radiated radiate VERB asir-4814 37 16 power power NOUN asir-4814 37 17 p p X asir-4814 37 18 , , PUNCT asir-4814 37 19 if if SCONJ asir-4814 37 20 a a DET asir-4814 37 21 maximum maximum ADJ asir-4814 37 22 power power NOUN asir-4814 37 23 is be AUX asir-4814 37 24 radiated radiate VERB asir-4814 37 25 in in ADP asir-4814 37 26 all all DET asir-4814 37 27 directions direction NOUN asir-4814 37 28 . . PUNCT asir-4814 38 1 in in ADP asir-4814 38 2 this this DET asir-4814 38 3 case case NOUN asir-4814 38 4 , , PUNCT asir-4814 38 5 a a DET asir-4814 38 6 total total ADJ asir-4814 38 7 power power NOUN asir-4814 38 8 is be AUX asir-4814 38 9 𝐷𝑃 𝐷𝑃 PROPN asir-4814 38 10 = = SYM asir-4814 38 11 4πœ‹π‘†π‘š 4πœ‹π‘†π‘š NOUN asir-4814 38 12 , , PUNCT asir-4814 38 13 where where SCONJ asir-4814 38 14 π‘†π‘š π‘†π‘š PROPN asir-4814 38 15 is be AUX asir-4814 38 16 a a DET asir-4814 38 17 power power NOUN asir-4814 38 18 flux flux NOUN asir-4814 38 19 in in ADP asir-4814 38 20 the the DET asir-4814 38 21 direction direction NOUN asir-4814 38 22 of of ADP asir-4814 38 23 maximum maximum ADJ asir-4814 38 24 radiation radiation NOUN asir-4814 38 25 , , PUNCT asir-4814 38 26 i.e. i.e. X asir-4814 38 27 , , PUNCT asir-4814 38 28 a a DET asir-4814 38 29 total total ADJ asir-4814 38 30 power power NOUN asir-4814 38 31 is be AUX asir-4814 38 32 equal equal ADJ asir-4814 38 33 to to ADP asir-4814 38 34 a a DET asir-4814 38 35 product product NOUN asir-4814 38 36 of of ADP asir-4814 38 37 a a DET asir-4814 38 38 power power NOUN asir-4814 38 39 in in ADP asir-4814 38 40 the the DET asir-4814 38 41 direction direction NOUN asir-4814 38 42 of of ADP asir-4814 38 43 a a DET asir-4814 38 44 maximum maximum ADJ asir-4814 38 45 radiation radiation NOUN asir-4814 38 46 by by ADP asir-4814 38 47 the the DET asir-4814 38 48 area area NOUN asir-4814 38 49 𝑆 𝑆 PROPN asir-4814 38 50 = = SYM asir-4814 38 51 4πœ‹π‘…2 4πœ‹π‘…2 PROPN asir-4814 38 52 of of ADP asir-4814 38 53 a a DET asir-4814 38 54 sphere sphere NOUN asir-4814 38 55 of of ADP asir-4814 38 56 an an DET asir-4814 38 57 infinite infinite ADJ asir-4814 38 58 large large ADJ asir-4814 38 59 radius radius NOUN asir-4814 38 60 r. r. PROPN asir-4814 38 61 in in ADP asir-4814 38 62 a a DET asir-4814 38 63 cylindrical cylindrical ADJ asir-4814 38 64 coordinate coordinate NOUN asir-4814 38 65 system system NOUN asir-4814 38 66 , , PUNCT asir-4814 38 67 the the DET asir-4814 38 68 radiated radiated ADJ asir-4814 38 69 power power NOUN asir-4814 38 70 of of ADP asir-4814 38 71 a a DET asir-4814 38 72 typical typical ADJ asir-4814 38 73 antenna antenna NOUN asir-4814 38 74 with with ADP asir-4814 38 75 an an DET asir-4814 38 76 axial axial ADJ asir-4814 38 77 structure structure NOUN asir-4814 38 78 , , PUNCT asir-4814 38 79 symmetrical symmetrical ADJ asir-4814 38 80 with with ADP asir-4814 38 81 respect respect NOUN asir-4814 38 82 to to ADP asir-4814 38 83 two two NUM asir-4814 38 84 planes plane NOUN asir-4814 38 85 , , PUNCT asir-4814 38 86 passing pass VERB asir-4814 38 87 through through ADP asir-4814 38 88 coordinates coordinate NOUN asir-4814 38 89 origin origin NOUN asir-4814 38 90 , , PUNCT asir-4814 38 91 is be AUX asir-4814 38 92 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 38 93 applied apply VERB asir-4814 38 94 science science NOUN asir-4814 38 95 and and CCONJ asir-4814 38 96 innovative innovative ADJ asir-4814 38 97 research research NOUN asir-4814 38 98 vol vol NOUN asir-4814 38 99 . . PROPN asir-4814 39 1 6 6 NUM asir-4814 39 2 , , PUNCT asir-4814 39 3 no no INTJ asir-4814 39 4 . . NOUN asir-4814 39 5 2 2 NUM asir-4814 39 6 , , PUNCT asir-4814 39 7 2022 2022 NUM asir-4814 39 8 73 73 NUM asir-4814 39 9 published publish VERB asir-4814 39 10 by by ADP asir-4814 39 11 scholink scholink PROPN asir-4814 39 12 inc inc PROPN asir-4814 39 13 . . PUNCT asir-4814 39 14 𝑃 𝑃 PROPN asir-4814 39 15 = = SYM asir-4814 39 16 2∫ 2∫ PROPN asir-4814 39 17 π‘‘πœ‘ π‘‘πœ‘ ADP asir-4814 39 18 ∫ ∫ PROPN asir-4814 39 19 π‘†π‘šπΉ2(πœƒ π‘†π‘šπΉ2(πœƒ PROPN asir-4814 39 20 , , PUNCT asir-4814 39 21 πœ‘)π‘‘πœƒ πœ‘)π‘‘πœƒ PROPN asir-4814 39 22 = = NOUN asir-4814 39 23 4πœ‹ 4πœ‹ NUM asir-4814 40 1 πœ‹ πœ‹ NOUN asir-4814 40 2 2⁄ 2⁄ NUM asir-4814 40 3 0 0 NUM asir-4814 40 4 2πœ‹ 2πœ‹ NUM asir-4814 40 5 0 0 NUM asir-4814 41 1 ∫ ∫ PROPN asir-4814 42 1 π‘†π‘šπΉ2(πœƒ π‘†π‘šπΉ2(πœƒ PROPN asir-4814 42 2 , , PUNCT asir-4814 42 3 πœ‘)π‘‘πœƒ. πœ‘)π‘‘πœƒ. NOUN asir-4814 42 4 πœ‹ πœ‹ NOUN asir-4814 42 5 2⁄ 2⁄ NUM asir-4814 42 6 0 0 NUM asir-4814 42 7 according accord VERB asir-4814 42 8 to to ADP asir-4814 42 9 these these DET asir-4814 42 10 two two NUM asir-4814 42 11 expressions expression NOUN asir-4814 42 12 1 1 NUM asir-4814 42 13 𝐷 𝐷 NOUN asir-4814 42 14 = = PUNCT asir-4814 42 15 𝑃 𝑃 PROPN asir-4814 42 16 ( ( PUNCT asir-4814 42 17 4πœ‹πΈπ‘š 4πœ‹πΈπ‘š NUM asir-4814 42 18 2 2 NUM asir-4814 42 19 ) ) PUNCT asir-4814 42 20 = = SYM asir-4814 43 1 ∫ ∫ PROPN asir-4814 43 2 π‘†π‘šπΉ2(πœƒ π‘†π‘šπΉ2(πœƒ PROPN asir-4814 43 3 ) ) PUNCT asir-4814 43 4 πΈπ‘š πΈπ‘š PROPN asir-4814 43 5 2 2 NUM asir-4814 43 6 π‘‘πœƒ π‘‘πœƒ PROPN asir-4814 43 7 , , PUNCT asir-4814 43 8 πœ‹ πœ‹ NOUN asir-4814 43 9 2⁄ 2⁄ NUM asir-4814 43 10 0 0 NUM asir-4814 43 11 ⁄⁄ ⁄⁄ NUM asir-4814 43 12 where where SCONJ asir-4814 43 13 πΈπ‘š πΈπ‘š PROPN asir-4814 43 14 is be AUX asir-4814 43 15 the the DET asir-4814 43 16 electric electric ADJ asir-4814 43 17 field field NOUN asir-4814 43 18 in in ADP asir-4814 43 19 the the DET asir-4814 43 20 direction direction NOUN asir-4814 43 21 of of ADP asir-4814 43 22 maximum maximum ADJ asir-4814 43 23 radiation radiation NOUN asir-4814 43 24 . . PUNCT asir-4814 44 1 the the DET asir-4814 44 2 pattern pattern NOUN asir-4814 44 3 factor factor NOUN asir-4814 44 4 is be AUX asir-4814 44 5 equal equal ADJ asir-4814 44 6 to to ADP asir-4814 44 7 the the DET asir-4814 44 8 average average ADJ asir-4814 44 9 level level NOUN asir-4814 44 10 of of ADP asir-4814 44 11 radiation radiation NOUN asir-4814 44 12 in in ADP asir-4814 44 13 a a DET asir-4814 44 14 predetermined predetermined ADJ asir-4814 44 15 range range NOUN asir-4814 44 16 of of ADP asir-4814 44 17 angles angle NOUN asir-4814 44 18 , , PUNCT asir-4814 44 19 for for ADP asir-4814 44 20 example example NOUN asir-4814 44 21 , , PUNCT asir-4814 44 22 in in ADP asir-4814 44 23 the the DET asir-4814 44 24 range range NOUN asir-4814 44 25 of of ADP asir-4814 44 26 vertical vertical ADJ asir-4814 44 27 angles angle NOUN asir-4814 44 28 πœƒ πœƒ NOUN asir-4814 44 29 from from ADP asir-4814 44 30 60 60 NUM asir-4814 44 31 to to PART asir-4814 44 32 90 90 NUM asir-4814 44 33 degrees degree NOUN asir-4814 44 34 : : PUNCT asir-4814 44 35 𝑃𝐹 𝑃𝐹 NOUN asir-4814 44 36 = = SYM asir-4814 44 37 1 1 NUM asir-4814 44 38 𝐾 𝐾 PROPN asir-4814 44 39 βˆ‘πΉ(πœƒπ‘˜ βˆ‘πΉ(πœƒπ‘˜ PROPN asir-4814 44 40 ) ) PUNCT asir-4814 44 41 , , PUNCT asir-4814 44 42 𝐾 𝐾 PROPN asir-4814 44 43 π‘˜=1 π‘˜=1 PROPN asir-4814 44 44 where where SCONJ asir-4814 44 45 𝐹(πœƒπ‘˜ 𝐹(πœƒπ‘˜ X asir-4814 44 46 ) ) PUNCT asir-4814 44 47 is be AUX asir-4814 44 48 the the DET asir-4814 44 49 magnitude magnitude NOUN asir-4814 44 50 of of ADP asir-4814 44 51 normalized normalize VERB asir-4814 44 52 vertical vertical ADJ asir-4814 44 53 directional directional ADJ asir-4814 44 54 pattern pattern NOUN asir-4814 44 55 at at ADP asir-4814 44 56 an an DET asir-4814 44 57 angle angle NOUN asir-4814 44 58 πœƒ πœƒ NOUN asir-4814 44 59 within within ADP asir-4814 44 60 an an DET asir-4814 44 61 angular angular ADJ asir-4814 44 62 sector sector NOUN asir-4814 44 63 from from ADP asir-4814 44 64 πœƒ1 πœƒ1 NOUN asir-4814 44 65 to to ADP asir-4814 44 66 πœƒπΎ πœƒπΎ PROPN asir-4814 44 67 . . PUNCT asir-4814 45 1 the the DET asir-4814 45 2 distance distance NOUN asir-4814 45 3 of of ADP asir-4814 45 4 radio radio NOUN asir-4814 45 5 communication communication NOUN asir-4814 45 6 depends depend VERB asir-4814 45 7 on on ADP asir-4814 45 8 the the DET asir-4814 45 9 field field NOUN asir-4814 45 10 magnitude magnitude NOUN asir-4814 45 11 in in ADP asir-4814 45 12 the the DET asir-4814 45 13 pointed pointed ADJ asir-4814 45 14 range range NOUN asir-4814 45 15 of of ADP asir-4814 45 16 angles angle NOUN asir-4814 45 17 . . PUNCT asir-4814 46 1 therefore therefore ADV asir-4814 46 2 pattern pattern NOUN asir-4814 46 3 factor factor NOUN asir-4814 46 4 is be AUX asir-4814 46 5 an an DET asir-4814 46 6 important important ADJ asir-4814 46 7 characteristic characteristic NOUN asir-4814 46 8 of of ADP asir-4814 46 9 any any DET asir-4814 46 10 antenna antenna NOUN asir-4814 46 11 . . PUNCT asir-4814 47 1 if if SCONJ asir-4814 47 2 a a DET asir-4814 47 3 maximal maximal ADJ asir-4814 47 4 directivity directivity NOUN asir-4814 47 5 of of ADP asir-4814 47 6 an an DET asir-4814 47 7 antenna antenna NOUN asir-4814 47 8 is be AUX asir-4814 47 9 large large ADJ asir-4814 47 10 , , PUNCT asir-4814 47 11 but but CCONJ asir-4814 47 12 is be AUX asir-4814 47 13 located locate VERB asir-4814 47 14 outside outside ADP asir-4814 47 15 the the DET asir-4814 47 16 required require VERB asir-4814 47 17 angular angular ADJ asir-4814 47 18 sector sector NOUN asir-4814 47 19 , , PUNCT asir-4814 47 20 it it PRON asir-4814 47 21 is be AUX asir-4814 47 22 useless useless ADJ asir-4814 47 23 for for ADP asir-4814 47 24 radio radio NOUN asir-4814 47 25 communication communication NOUN asir-4814 47 26 . . PUNCT asir-4814 48 1 as as SCONJ asir-4814 48 2 already already ADV asir-4814 48 3 said say VERB asir-4814 48 4 , , PUNCT asir-4814 48 5 for for ADP asir-4814 48 6 calculating calculate VERB asir-4814 48 7 electrical electrical ADJ asir-4814 48 8 characteristics characteristic NOUN asir-4814 48 9 of of ADP asir-4814 48 10 systems system NOUN asir-4814 48 11 consisting consist VERB asir-4814 48 12 of of ADP asir-4814 48 13 parallel parallel ADJ asir-4814 48 14 linear linear NOUN asir-4814 48 15 radiators radiator NOUN asir-4814 48 16 we we PRON asir-4814 48 17 will will AUX asir-4814 48 18 use use VERB asir-4814 48 19 the the DET asir-4814 48 20 method method NOUN asir-4814 48 21 of of ADP asir-4814 48 22 electrostatic electrostatic ADJ asir-4814 48 23 analogy analogy NOUN asir-4814 48 24 as as ADP asir-4814 48 25 an an DET asir-4814 48 26 approximate approximate ADJ asir-4814 48 27 method method NOUN asir-4814 48 28 . . PUNCT asir-4814 49 1 it it PRON asir-4814 49 2 is be AUX asir-4814 49 3 based base VERB asir-4814 49 4 on on ADP asir-4814 49 5 the the DET asir-4814 49 6 similarity similarity NOUN asir-4814 49 7 of of ADP asir-4814 49 8 electromagnetic electromagnetic ADJ asir-4814 49 9 fields field NOUN asir-4814 49 10 created create VERB asir-4814 49 11 by by ADP asir-4814 49 12 high high ADJ asir-4814 49 13 - - PUNCT asir-4814 49 14 frequency frequency NOUN asir-4814 49 15 currents current NOUN asir-4814 49 16 of of ADP asir-4814 49 17 linear linear ADJ asir-4814 49 18 radiators radiator NOUN asir-4814 49 19 with with ADP asir-4814 49 20 electrostatic electrostatic ADJ asir-4814 49 21 fields field NOUN asir-4814 49 22 of of ADP asir-4814 49 23 charges charge NOUN asir-4814 49 24 placed place VERB asir-4814 49 25 on on ADP asir-4814 49 26 linear linear PROPN asir-4814 49 27 conductors conductor NOUN asir-4814 49 28 . . PUNCT asir-4814 50 1 both both DET asir-4814 50 2 fields field NOUN asir-4814 50 3 are be AUX asir-4814 50 4 directly directly ADV asir-4814 50 5 proportional proportional ADJ asir-4814 50 6 to to ADP asir-4814 50 7 the the DET asir-4814 50 8 magnitude magnitude NOUN asir-4814 50 9 of of ADP asir-4814 50 10 the the DET asir-4814 50 11 current current ADJ asir-4814 50 12 or or CCONJ asir-4814 50 13 the the DET asir-4814 50 14 magnitude magnitude NOUN asir-4814 50 15 of of ADP asir-4814 50 16 the the DET asir-4814 50 17 charge charge NOUN asir-4814 50 18 , , PUNCT asir-4814 50 19 and and CCONJ asir-4814 50 20 in in ADP asir-4814 50 21 the the DET asir-4814 50 22 far far ADJ asir-4814 50 23 zone zone NOUN asir-4814 50 24 they they PRON asir-4814 50 25 are be AUX asir-4814 50 26 inversely inversely ADV asir-4814 50 27 proportional proportional ADJ asir-4814 50 28 to to ADP asir-4814 50 29 the the DET asir-4814 50 30 distance distance NOUN asir-4814 50 31 from from ADP asir-4814 50 32 the the DET asir-4814 50 33 source source NOUN asir-4814 50 34 . . PUNCT asir-4814 51 1 this this DET asir-4814 51 2 similarity similarity NOUN asir-4814 51 3 of of ADP asir-4814 51 4 their their PRON asir-4814 51 5 fields field NOUN asir-4814 51 6 is be AUX asir-4814 51 7 a a DET asir-4814 51 8 sign sign NOUN asir-4814 51 9 of of ADP asir-4814 51 10 the the DET asir-4814 51 11 identical identical ADJ asir-4814 51 12 mathematical mathematical ADJ asir-4814 51 13 problem problem NOUN asir-4814 51 14 and and CCONJ asir-4814 51 15 the the DET asir-4814 51 16 identical identical ADJ asir-4814 51 17 form form NOUN asir-4814 51 18 of of ADP asir-4814 51 19 equations equation NOUN asir-4814 51 20 . . PUNCT asir-4814 52 1 this this DET asir-4814 52 2 coincidence coincidence NOUN asir-4814 52 3 permits permit VERB asir-4814 52 4 to to PART asir-4814 52 5 use use VERB asir-4814 52 6 the the DET asir-4814 52 7 principle principle NOUN asir-4814 52 8 of of ADP asir-4814 52 9 correspondence correspondence NOUN asir-4814 52 10 in in ADP asir-4814 52 11 the the DET asir-4814 52 12 solution solution NOUN asir-4814 52 13 process process NOUN asir-4814 52 14 . . PUNCT asir-4814 53 1 when when SCONJ asir-4814 53 2 solving solve VERB asir-4814 53 3 mathematical mathematical ADJ asir-4814 53 4 problems problem NOUN asir-4814 53 5 , , PUNCT asir-4814 53 6 an an DET asir-4814 53 7 analogous analogous ADJ asir-4814 53 8 form form NOUN asir-4814 53 9 of of ADP asir-4814 53 10 equation equation NOUN asir-4814 53 11 often often ADV asir-4814 53 12 lends lend VERB asir-4814 53 13 essential essential ADJ asir-4814 53 14 assistance assistance NOUN asir-4814 53 15 . . PUNCT asir-4814 54 1 for for ADP asir-4814 54 2 example example NOUN asir-4814 54 3 , , PUNCT asir-4814 54 4 the the DET asir-4814 54 5 first first ADJ asir-4814 54 6 two two NUM asir-4814 54 7 maxwell maxwell PROPN asir-4814 54 8 ’s ’s PART asir-4814 54 9 equations equation NOUN asir-4814 54 10 that that PRON asir-4814 54 11 became become VERB asir-4814 54 12 a a DET asir-4814 54 13 basis basis NOUN asir-4814 54 14 for for ADP asir-4814 54 15 classical classical ADJ asir-4814 54 16 electromagnetic electromagnetic ADJ asir-4814 54 17 theory theory NOUN asir-4814 54 18 allowed allow VERB asir-4814 54 19 substantiate substantiate VERB asir-4814 54 20 the the DET asir-4814 54 21 principle principle NOUN asir-4814 54 22 of of ADP asir-4814 54 23 duality duality NOUN asir-4814 54 24 ( ( PUNCT asir-4814 54 25 pistolkors pistolkor NOUN asir-4814 54 26 , , PUNCT asir-4814 54 27 1948 1948 NUM asir-4814 54 28 ) ) PUNCT asir-4814 54 29 . . PUNCT asir-4814 55 1 let let VERB asir-4814 55 2 ’s ’s PRON asir-4814 55 3 write write VERB asir-4814 55 4 these these DET asir-4814 55 5 equations equation NOUN asir-4814 55 6 in in ADP asir-4814 55 7 the the DET asir-4814 55 8 form form NOUN asir-4814 55 9 : : PUNCT asir-4814 55 10 π‘π‘’π‘Ÿπ‘™ π‘π‘’π‘Ÿπ‘™ PROPN asir-4814 55 11 οΏ½ οΏ½ PROPN asir-4814 55 12 βƒ—βƒ— βƒ—βƒ— PROPN asir-4814 55 13 οΏ½ οΏ½ PROPN asir-4814 56 1 = = PRON asir-4814 56 2 𝑗 𝑗 PROPN asir-4814 56 3 βƒ—βƒ— βƒ—βƒ— NOUN asir-4814 56 4 + + ADP asir-4814 56 5 πœ€0 πœ€0 PROPN asir-4814 56 6 πœ• πœ• PROPN asir-4814 56 7 οΏ½ οΏ½ NOUN asir-4814 56 8 βƒ— βƒ— NOUN asir-4814 56 9 οΏ½ οΏ½ PROPN asir-4814 56 10 πœ•π‘‘ πœ•π‘‘ PROPN asir-4814 56 11 , , PUNCT asir-4814 56 12 π‘π‘’π‘Ÿπ‘™ π‘π‘’π‘Ÿπ‘™ PROPN asir-4814 56 13 οΏ½ οΏ½ PROPN asir-4814 56 14 βƒ— βƒ— PROPN asir-4814 56 15 οΏ½ οΏ½ PROPN asir-4814 56 16 = = SYM asir-4814 56 17 βˆ’πœ‡0 βˆ’πœ‡0 PROPN asir-4814 56 18 πœ• πœ• PROPN asir-4814 56 19 οΏ½ οΏ½ PROPN asir-4814 56 20 βƒ—βƒ—βƒ— βƒ—βƒ—βƒ— PROPN asir-4814 56 21 οΏ½ οΏ½ PROPN asir-4814 56 22 πœ•π‘‘ πœ•π‘‘ PROPN asir-4814 56 23 , , PUNCT asir-4814 56 24 where where SCONJ asir-4814 56 25 οΏ½ οΏ½ NOUN asir-4814 56 26 βƒ— βƒ— PART asir-4814 56 27 οΏ½ οΏ½ PROPN asir-4814 56 28 and and CCONJ asir-4814 56 29 οΏ½ οΏ½ PROPN asir-4814 56 30 βƒ—βƒ— βƒ—βƒ— PROPN asir-4814 56 31 οΏ½ οΏ½ PROPN asir-4814 56 32 are be AUX asir-4814 56 33 strengths strength NOUN asir-4814 56 34 vectors vector NOUN asir-4814 56 35 of of ADP asir-4814 56 36 electric electric ADJ asir-4814 56 37 and and CCONJ asir-4814 56 38 magnetic magnetic ADJ asir-4814 56 39 field field NOUN asir-4814 56 40 respectively respectively ADV asir-4814 56 41 , , PUNCT asir-4814 56 42 𝑗 𝑗 X asir-4814 56 43 is be AUX asir-4814 56 44 a a DET asir-4814 56 45 conduction conduction NOUN asir-4814 56 46 current current ADJ asir-4814 56 47 , , PUNCT asir-4814 56 48 πœ€0 πœ€0 NOUN asir-4814 56 49 and and CCONJ asir-4814 56 50 πœ‡0 πœ‡0 PROPN asir-4814 56 51 are be AUX asir-4814 56 52 permittivity permittivity NOUN asir-4814 56 53 and and CCONJ asir-4814 56 54 permeability permeability NOUN asir-4814 56 55 of of ADP asir-4814 56 56 a a DET asir-4814 56 57 surrounding surround VERB asir-4814 56 58 medium medium NOUN asir-4814 56 59 . . PUNCT asir-4814 57 1 by by ADP asir-4814 57 2 replacing replace VERB asir-4814 57 3 variables variable NOUN asir-4814 57 4 in in ADP asir-4814 57 5 accordance accordance NOUN asir-4814 57 6 with with ADP asir-4814 57 7 the the DET asir-4814 57 8 equalities equality NOUN asir-4814 57 9 οΏ½ οΏ½ PROPN asir-4814 57 10 βƒ— βƒ— NOUN asir-4814 57 11 οΏ½ οΏ½ PROPN asir-4814 57 12 1 1 NUM asir-4814 57 13 = = SYM asir-4814 57 14 βˆšπœ€0 βˆšπœ€0 PROPN asir-4814 57 15 οΏ½ οΏ½ PROPN asir-4814 57 16 βƒ— βƒ— PROPN asir-4814 57 17 οΏ½ οΏ½ PROPN asir-4814 57 18 , , PUNCT asir-4814 57 19 οΏ½ οΏ½ PROPN asir-4814 57 20 βƒ—βƒ— βƒ—βƒ— PROPN asir-4814 57 21 οΏ½ οΏ½ PROPN asir-4814 57 22 1 1 NUM asir-4814 57 23 = = SYM asir-4814 57 24 βˆšβˆ’πœ‡0 βˆšβˆ’πœ‡0 PROPN asir-4814 57 25 οΏ½ οΏ½ PROPN asir-4814 57 26 βƒ—βƒ— βƒ—βƒ— PROPN asir-4814 57 27 οΏ½ οΏ½ PROPN asir-4814 57 28 and and CCONJ asir-4814 57 29 introducing introduce VERB asir-4814 57 30 conventionally conventionally ADV asir-4814 57 31 a a DET asir-4814 57 32 magnetic magnetic ADJ asir-4814 57 33 conduction conduction NOUN asir-4814 57 34 current current NOUN asir-4814 57 35 , , PUNCT asir-4814 57 36 we we PRON asir-4814 57 37 obtain obtain VERB asir-4814 57 38 π‘π‘’π‘Ÿπ‘™ π‘π‘’π‘Ÿπ‘™ PROPN asir-4814 57 39 οΏ½ οΏ½ PROPN asir-4814 57 40 βƒ—βƒ— βƒ—βƒ— PROPN asir-4814 57 41 οΏ½ οΏ½ PROPN asir-4814 57 42 1 1 NUM asir-4814 58 1 = = SYM asir-4814 58 2 𝑗 𝑗 PROPN asir-4814 58 3 1 1 NUM asir-4814 58 4 + + PROPN asir-4814 58 5 βˆšβˆ’πœ€0πœ‡0 βˆšβˆ’πœ€0πœ‡0 PROPN asir-4814 58 6 πœ• πœ• PROPN asir-4814 58 7 οΏ½ οΏ½ NOUN asir-4814 58 8 βƒ— βƒ— NOUN asir-4814 58 9 οΏ½ οΏ½ PROPN asir-4814 58 10 1 1 NUM asir-4814 58 11 πœ•π‘‘ πœ•π‘‘ PROPN asir-4814 58 12 , , PUNCT asir-4814 58 13 π‘π‘’π‘Ÿπ‘™ π‘π‘’π‘Ÿπ‘™ PROPN asir-4814 58 14 οΏ½ οΏ½ PROPN asir-4814 58 15 βƒ— βƒ— PROPN asir-4814 58 16 οΏ½ οΏ½ NOUN asir-4814 58 17 1 1 NUM asir-4814 58 18 = = SYM asir-4814 58 19 + + PROPN asir-4814 58 20 βˆšβˆ’πœ€0πœ‡0 βˆšβˆ’πœ€0πœ‡0 PROPN asir-4814 58 21 πœ• πœ• PROPN asir-4814 58 22 οΏ½ οΏ½ PROPN asir-4814 58 23 βƒ—βƒ— βƒ—βƒ— PROPN asir-4814 58 24 οΏ½ οΏ½ PROPN asir-4814 58 25 1 1 NUM asir-4814 58 26 πœ•π‘‘ πœ•π‘‘ PROPN asir-4814 58 27 , , PUNCT asir-4814 58 28 where where SCONJ asir-4814 58 29 οΏ½ οΏ½ NOUN asir-4814 58 30 βƒ— βƒ— X asir-4814 58 31 οΏ½ οΏ½ PROPN asir-4814 58 32 1 1 NUM asir-4814 58 33 and and CCONJ asir-4814 58 34 οΏ½ οΏ½ PROPN asir-4814 58 35 βƒ—βƒ— βƒ—βƒ— PROPN asir-4814 58 36 οΏ½ οΏ½ PROPN asir-4814 58 37 1 1 NUM asir-4814 58 38 are be AUX asir-4814 58 39 also also ADV asir-4814 58 40 strength strength NOUN asir-4814 58 41 vectors vector NOUN asir-4814 58 42 of of ADP asir-4814 58 43 fields field NOUN asir-4814 58 44 , , PUNCT asir-4814 58 45 and and CCONJ asir-4814 58 46 𝑗 𝑗 PRON asir-4814 58 47 1 1 NUM asir-4814 58 48 is be AUX asir-4814 58 49 a a DET asir-4814 58 50 conduction conduction NOUN asir-4814 58 51 current current NOUN asir-4814 58 52 , , PUNCT asir-4814 58 53 but but CCONJ asir-4814 58 54 in in ADP asir-4814 58 55 other other ADJ asir-4814 58 56 units unit NOUN asir-4814 58 57 . . PUNCT asir-4814 59 1 the the DET asir-4814 59 2 obtained obtain VERB asir-4814 59 3 equations equation NOUN asir-4814 59 4 are be AUX asir-4814 59 5 completely completely ADV asir-4814 59 6 symmetric symmetric ADJ asir-4814 59 7 with with ADP asir-4814 59 8 respect respect NOUN asir-4814 59 9 to to ADP asir-4814 59 10 οΏ½ οΏ½ NOUN asir-4814 59 11 βƒ— βƒ— NOUN asir-4814 59 12 οΏ½ οΏ½ PROPN asir-4814 59 13 1 1 NUM asir-4814 59 14 and and CCONJ asir-4814 59 15 οΏ½ οΏ½ PROPN asir-4814 59 16 βƒ—βƒ— βƒ—βƒ— PROPN asir-4814 59 17 οΏ½ οΏ½ PROPN asir-4814 59 18 1 1 NUM asir-4814 59 19 . . PUNCT asir-4814 60 1 an an DET asir-4814 60 2 introduction introduction NOUN asir-4814 60 3 of of ADP asir-4814 60 4 a a DET asir-4814 60 5 magnetic magnetic ADJ asir-4814 60 6 conduction conduction NOUN asir-4814 60 7 current current NOUN asir-4814 60 8 makes make VERB asir-4814 60 9 theirs theirs PRON asir-4814 60 10 also also ADV asir-4814 60 11 symmetric symmetric VERB asir-4814 60 12 with with ADP asir-4814 60 13 respect respect NOUN asir-4814 60 14 to to ADP asir-4814 60 15 electric electric ADJ asir-4814 60 16 and and CCONJ asir-4814 60 17 magnetic magnetic ADJ asir-4814 60 18 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 60 19 applied apply VERB asir-4814 60 20 science science NOUN asir-4814 60 21 and and CCONJ asir-4814 60 22 innovative innovative ADJ asir-4814 60 23 research research NOUN asir-4814 60 24 vol vol NOUN asir-4814 60 25 . . PROPN asir-4814 61 1 6 6 NUM asir-4814 61 2 , , PUNCT asir-4814 61 3 no no INTJ asir-4814 61 4 . . NOUN asir-4814 61 5 2 2 NUM asir-4814 61 6 , , PUNCT asir-4814 61 7 2022 2022 NUM asir-4814 61 8 74 74 NUM asir-4814 61 9 published publish VERB asir-4814 61 10 by by ADP asir-4814 61 11 scholink scholink PROPN asir-4814 61 12 inc inc PROPN asir-4814 61 13 . . PROPN asir-4814 61 14 conduction conduction NOUN asir-4814 61 15 currents current NOUN asir-4814 61 16 , , PUNCT asir-4814 61 17 i.e. i.e. X asir-4814 61 18 , , PUNCT asir-4814 61 19 makes make VERB asir-4814 61 20 possible possible ADJ asir-4814 61 21 to to PART asir-4814 61 22 treat treat VERB asir-4814 61 23 theirs theirs PRON asir-4814 61 24 not not PART asir-4814 61 25 only only ADV asir-4814 61 26 as as ADP asir-4814 61 27 equations equation NOUN asir-4814 61 28 for for ADP asir-4814 61 29 an an DET asir-4814 61 30 electric electric ADJ asir-4814 61 31 radiator radiator NOUN asir-4814 61 32 , , PUNCT asir-4814 61 33 but but CCONJ asir-4814 61 34 also also ADV asir-4814 61 35 as as ADP asir-4814 61 36 equations equation NOUN asir-4814 61 37 for for ADP asir-4814 61 38 a a DET asir-4814 61 39 magnetic magnetic ADJ asir-4814 61 40 radiator radiator NOUN asir-4814 61 41 with with ADP asir-4814 61 42 a a DET asir-4814 61 43 magnetic magnetic ADJ asir-4814 61 44 conduction conduction NOUN asir-4814 61 45 current current ADJ asir-4814 61 46 𝑗 𝑗 PROPN asir-4814 61 47 π‘š1 π‘š1 NOUN asir-4814 61 48 . . PUNCT asir-4814 61 49 expressions expression NOUN asir-4814 61 50 for for ADP asir-4814 61 51 fields field NOUN asir-4814 61 52 and and CCONJ asir-4814 61 53 characteristics characteristic NOUN asir-4814 61 54 of of ADP asir-4814 61 55 a a DET asir-4814 61 56 magnetic magnetic ADJ asir-4814 61 57 radiator radiator NOUN asir-4814 61 58 can can AUX asir-4814 61 59 be be AUX asir-4814 61 60 recorded record VERB asir-4814 61 61 by by ADP asir-4814 61 62 means mean NOUN asir-4814 61 63 of of ADP asir-4814 61 64 the the DET asir-4814 61 65 expressions expression NOUN asir-4814 61 66 analogous analogous ADJ asir-4814 61 67 to to ADP asir-4814 61 68 expressions expression NOUN asir-4814 61 69 for for ADP asir-4814 61 70 an an DET asir-4814 61 71 electric electric ADJ asir-4814 61 72 radiator radiator NOUN asir-4814 61 73 . . PUNCT asir-4814 62 1 for for ADP asir-4814 62 2 example example NOUN asir-4814 62 3 , , PUNCT asir-4814 62 4 an an DET asir-4814 62 5 input input NOUN asir-4814 62 6 impedance impedance NOUN asir-4814 62 7 of of ADP asir-4814 62 8 a a DET asir-4814 62 9 magnetic magnetic ADJ asir-4814 62 10 radiator radiator NOUN asir-4814 62 11 π‘π‘š π‘π‘š PROPN asir-4814 62 12 , , PUNCT asir-4814 62 13 whose whose DET asir-4814 62 14 shape shape NOUN asir-4814 62 15 and and CCONJ asir-4814 62 16 dimensions dimension NOUN asir-4814 62 17 coincide coincide VERB asir-4814 62 18 with with ADP asir-4814 62 19 the the DET asir-4814 62 20 shape shape NOUN asir-4814 62 21 and and CCONJ asir-4814 62 22 dimensions dimension NOUN asir-4814 62 23 of of ADP asir-4814 62 24 an an DET asir-4814 62 25 electric electric ADJ asir-4814 62 26 radiator radiator NOUN asir-4814 62 27 , , PUNCT asir-4814 62 28 is be AUX asir-4814 62 29 equal equal ADJ asir-4814 62 30 to to ADP asir-4814 62 31 π‘π‘š π‘π‘š PROPN asir-4814 62 32 = = SYM asir-4814 62 33 ( ( PUNCT asir-4814 62 34 120πœ‹)2 120πœ‹)2 NUM asir-4814 62 35 𝑍𝑒⁄ 𝑍𝑒⁄ X asir-4814 62 36 . . PUNCT asir-4814 63 1 here here ADV asir-4814 63 2 𝑍𝑒 𝑍𝑒 PROPN asir-4814 63 3 is be AUX asir-4814 63 4 an an DET asir-4814 63 5 input input NOUN asir-4814 63 6 impedance impedance NOUN asir-4814 63 7 of of ADP asir-4814 63 8 an an DET asir-4814 63 9 electric electric ADJ asir-4814 63 10 radiator radiator NOUN asir-4814 63 11 . . PUNCT asir-4814 64 1 a a DET asir-4814 64 2 slot slot NOUN asir-4814 64 3 is be AUX asir-4814 64 4 a a DET asir-4814 64 5 real real ADJ asir-4814 64 6 embodiment embodiment NOUN asir-4814 64 7 of of ADP asir-4814 64 8 a a DET asir-4814 64 9 magnetic magnetic ADJ asir-4814 64 10 radiator radiator NOUN asir-4814 64 11 . . PUNCT asir-4814 65 1 a a DET asir-4814 65 2 similar similar ADJ asir-4814 65 3 method method NOUN asir-4814 65 4 of of ADP asir-4814 65 5 solving solve VERB asir-4814 65 6 problems problem NOUN asir-4814 65 7 is be AUX asir-4814 65 8 used use VERB asir-4814 65 9 in in ADP asir-4814 65 10 many many ADJ asir-4814 65 11 other other ADJ asir-4814 65 12 cases case NOUN asir-4814 65 13 . . PUNCT asir-4814 66 1 for for ADP asir-4814 66 2 example example NOUN asir-4814 66 3 , , PUNCT asir-4814 66 4 there there PRON asir-4814 66 5 is be VERB asir-4814 66 6 the the DET asir-4814 66 7 known know VERB asir-4814 66 8 analogy analogy NOUN asir-4814 66 9 between between ADP asir-4814 66 10 a a DET asir-4814 66 11 picture picture NOUN asir-4814 66 12 of of ADP asir-4814 66 13 electrostatic electrostatic ADJ asir-4814 66 14 field field NOUN asir-4814 66 15 of of ADP asir-4814 66 16 charged charge VERB asir-4814 66 17 conducting conduct VERB asir-4814 66 18 bodies body NOUN asir-4814 66 19 located locate VERB asir-4814 66 20 in in ADP asir-4814 66 21 a a DET asir-4814 66 22 homogeneous homogeneous ADJ asir-4814 66 23 and and CCONJ asir-4814 66 24 isotropic isotropic ADJ asir-4814 66 25 dielectric dielectric NOUN asir-4814 66 26 and and CCONJ asir-4814 66 27 a a DET asir-4814 66 28 picture picture NOUN asir-4814 66 29 of of ADP asir-4814 66 30 constant constant ADJ asir-4814 66 31 currents current NOUN asir-4814 66 32 in in ADP asir-4814 66 33 a a DET asir-4814 66 34 homogeneous homogeneous ADJ asir-4814 66 35 , , PUNCT asir-4814 66 36 weakly weakly ADV asir-4814 66 37 - - PUNCT asir-4814 66 38 conducting conduct VERB asir-4814 66 39 medium medium NOUN asir-4814 66 40 . . PUNCT asir-4814 67 1 in in ADP asir-4814 67 2 this this DET asir-4814 67 3 case case NOUN asir-4814 67 4 , , PUNCT asir-4814 67 5 bodies body NOUN asir-4814 67 6 placed place VERB asir-4814 67 7 in in ADP asir-4814 67 8 the the DET asir-4814 67 9 medium medium NOUN asir-4814 67 10 must must AUX asir-4814 67 11 have have VERB asir-4814 67 12 high high ADJ asir-4814 67 13 conductivity conductivity NOUN asir-4814 67 14 and and CCONJ asir-4814 67 15 their their PRON asir-4814 67 16 shape shape NOUN asir-4814 67 17 and and CCONJ asir-4814 67 18 geometric geometric ADJ asir-4814 67 19 dimensions dimension NOUN asir-4814 67 20 must must AUX asir-4814 67 21 coincide coincide VERB asir-4814 67 22 with with ADP asir-4814 67 23 the the DET asir-4814 67 24 shape shape NOUN asir-4814 67 25 and and CCONJ asir-4814 67 26 dimensions dimension NOUN asir-4814 67 27 of of ADP asir-4814 67 28 the the DET asir-4814 67 29 conducting conduct VERB asir-4814 67 30 bodies body NOUN asir-4814 67 31 located locate VERB asir-4814 67 32 in in ADP asir-4814 67 33 a a DET asir-4814 67 34 dielectric dielectric NOUN asir-4814 67 35 . . PUNCT asir-4814 68 1 if if SCONJ asir-4814 68 2 a a DET asir-4814 68 3 picture picture NOUN asir-4814 68 4 of of ADP asir-4814 68 5 an an DET asir-4814 68 6 electric electric ADJ asir-4814 68 7 field field NOUN asir-4814 68 8 of of ADP asir-4814 68 9 linear linear ADJ asir-4814 68 10 charges charge NOUN asir-4814 68 11 is be AUX asir-4814 68 12 known know VERB asir-4814 68 13 , , PUNCT asir-4814 68 14 then then ADV asir-4814 68 15 , , PUNCT asir-4814 68 16 using use VERB asir-4814 68 17 the the DET asir-4814 68 18 correspondence correspondence NOUN asir-4814 68 19 principle principle NOUN asir-4814 68 20 , , PUNCT asir-4814 68 21 one one PRON asir-4814 68 22 can can AUX asir-4814 68 23 construct construct VERB asir-4814 68 24 a a DET asir-4814 68 25 picture picture NOUN asir-4814 68 26 of of ADP asir-4814 68 27 a a DET asir-4814 68 28 magnetic magnetic ADJ asir-4814 68 29 field field NOUN asir-4814 68 30 of of ADP asir-4814 68 31 constant constant ADJ asir-4814 68 32 linear linear ADJ asir-4814 68 33 currents current NOUN asir-4814 68 34 , , PUNCT asir-4814 68 35 provided provide VERB asir-4814 68 36 the the DET asir-4814 68 37 currents current NOUN asir-4814 68 38 and and CCONJ asir-4814 68 39 charges charge NOUN asir-4814 68 40 are be AUX asir-4814 68 41 distributed distribute VERB asir-4814 68 42 in in ADP asir-4814 68 43 space space NOUN asir-4814 68 44 identically identically ADV asir-4814 68 45 . . PUNCT asir-4814 69 1 the the DET asir-4814 69 2 difference difference NOUN asir-4814 69 3 between between ADP asir-4814 69 4 these these DET asir-4814 69 5 images image NOUN asir-4814 69 6 is be AUX asir-4814 69 7 only only ADV asir-4814 69 8 that that SCONJ asir-4814 69 9 lines line NOUN asir-4814 69 10 of of ADP asir-4814 69 11 equal equal ADJ asir-4814 69 12 magnetic magnetic ADJ asir-4814 69 13 potential potential NOUN asir-4814 69 14 are be AUX asir-4814 69 15 located locate VERB asir-4814 69 16 on on ADP asir-4814 69 17 places place NOUN asir-4814 69 18 of of ADP asir-4814 69 19 lines line NOUN asir-4814 69 20 of of ADP asir-4814 69 21 electric electric ADJ asir-4814 69 22 field field NOUN asir-4814 69 23 strength strength NOUN asir-4814 69 24 , , PUNCT asir-4814 69 25 and and CCONJ asir-4814 69 26 lines line NOUN asir-4814 69 27 of of ADP asir-4814 69 28 magnetic magnetic ADJ asir-4814 69 29 field field NOUN asir-4814 69 30 strength strength NOUN asir-4814 69 31 are be AUX asir-4814 69 32 located locate VERB asir-4814 69 33 on on ADP asir-4814 69 34 places place NOUN asir-4814 69 35 of of ADP asir-4814 69 36 lines line NOUN asir-4814 69 37 of of ADP asir-4814 69 38 equal equal ADJ asir-4814 69 39 electric electric ADJ asir-4814 69 40 potential potential NOUN asir-4814 69 41 ( ( PUNCT asir-4814 69 42 neyman neyman PROPN asir-4814 69 43 & & CCONJ asir-4814 69 44 kalantarov kalantarov PROPN asir-4814 69 45 , , PUNCT asir-4814 69 46 1959 1959 NUM asir-4814 69 47 ) ) PUNCT asir-4814 69 48 . . PUNCT asir-4814 70 1 generalizing generalize VERB asir-4814 70 2 the the DET asir-4814 70 3 principle principle NOUN asir-4814 70 4 of of ADP asir-4814 70 5 correspondence correspondence NOUN asir-4814 70 6 , , PUNCT asir-4814 70 7 it it PRON asir-4814 70 8 is be AUX asir-4814 70 9 advisable advisable ADJ asir-4814 70 10 to to PART asir-4814 70 11 compare compare VERB asir-4814 70 12 electromagnetic electromagnetic ADJ asir-4814 70 13 fields field NOUN asir-4814 70 14 created create VERB asir-4814 70 15 by by ADP asir-4814 70 16 high high ADJ asir-4814 70 17 - - PUNCT asir-4814 70 18 frequency frequency NOUN asir-4814 70 19 currents current NOUN asir-4814 70 20 of of ADP asir-4814 70 21 linear linear ADJ asir-4814 70 22 radiators radiator NOUN asir-4814 70 23 with with ADP asir-4814 70 24 electrostatic electrostatic ADJ asir-4814 70 25 fields field NOUN asir-4814 70 26 of of ADP asir-4814 70 27 charges charge NOUN asir-4814 70 28 , , PUNCT asir-4814 70 29 which which PRON asir-4814 70 30 are be AUX asir-4814 70 31 placed place VERB asir-4814 70 32 on on ADP asir-4814 70 33 linear linear PROPN asir-4814 70 34 conductors conductor NOUN asir-4814 70 35 . . PUNCT asir-4814 71 1 this this DET asir-4814 71 2 approach approach NOUN asir-4814 71 3 is be AUX asir-4814 71 4 based base VERB asir-4814 71 5 on on ADP asir-4814 71 6 an an DET asir-4814 71 7 analogy analogy NOUN asir-4814 71 8 between between ADP asir-4814 71 9 two two NUM asir-4814 71 10 structures structure NOUN asir-4814 71 11 consisting consist VERB asir-4814 71 12 of of ADP asir-4814 71 13 high high ADJ asir-4814 71 14 - - PUNCT asir-4814 71 15 frequency frequency NOUN asir-4814 71 16 currents current NOUN asir-4814 71 17 and and CCONJ asir-4814 71 18 constant constant ADJ asir-4814 71 19 charges charge NOUN asir-4814 71 20 . . PUNCT asir-4814 72 1 it it PRON asir-4814 72 2 is be AUX asir-4814 72 3 assumed assume VERB asir-4814 72 4 that that SCONJ asir-4814 72 5 shapes shape NOUN asir-4814 72 6 and and CCONJ asir-4814 72 7 dimensions dimension NOUN asir-4814 72 8 of of ADP asir-4814 72 9 radiators radiator NOUN asir-4814 72 10 coincide coincide NOUN asir-4814 72 11 with with ADP asir-4814 72 12 shapes shape NOUN asir-4814 72 13 and and CCONJ asir-4814 72 14 dimensions dimension NOUN asir-4814 72 15 of of ADP asir-4814 72 16 conductors conductor NOUN asir-4814 72 17 . . PUNCT asir-4814 73 1 in in ADP asir-4814 73 2 the the DET asir-4814 73 3 case case NOUN asir-4814 73 4 of of ADP asir-4814 73 5 several several ADJ asir-4814 73 6 radiators radiator NOUN asir-4814 73 7 a a DET asir-4814 73 8 ratio ratio NOUN asir-4814 73 9 of of ADP asir-4814 73 10 emf emf NOUN asir-4814 73 11 in in ADP asir-4814 73 12 their their PRON asir-4814 73 13 centers center NOUN asir-4814 73 14 is be AUX asir-4814 73 15 equal equal ADJ asir-4814 73 16 to to ADP asir-4814 73 17 a a DET asir-4814 73 18 ratio ratio NOUN asir-4814 73 19 of of ADP asir-4814 73 20 charges charge NOUN asir-4814 73 21 placed place VERB asir-4814 73 22 on on ADP asir-4814 73 23 the the DET asir-4814 73 24 conductors conductor NOUN asir-4814 73 25 . . PUNCT asir-4814 74 1 the the DET asir-4814 74 2 positive positive ADJ asir-4814 74 3 charge charge NOUN asir-4814 74 4 , , PUNCT asir-4814 74 5 equal equal ADJ asir-4814 74 6 to to ADP asir-4814 74 7 𝑄0 𝑄0 PROPN asir-4814 74 8 , , PUNCT asir-4814 74 9 is be AUX asir-4814 74 10 located locate VERB asir-4814 74 11 on on ADP asir-4814 74 12 the the DET asir-4814 74 13 conductor conductor NOUN asir-4814 74 14 0 0 NUM asir-4814 74 15 , , PUNCT asir-4814 74 16 which which PRON asir-4814 74 17 corresponds correspond VERB asir-4814 74 18 to to ADP asir-4814 74 19 the the DET asir-4814 74 20 active active ADJ asir-4814 74 21 radiator radiator NOUN asir-4814 74 22 . . PUNCT asir-4814 75 1 the the DET asir-4814 75 2 negative negative ADJ asir-4814 75 3 charges charge NOUN asir-4814 75 4 ( ( PUNCT asir-4814 75 5 their their PRON asir-4814 75 6 number number NOUN asir-4814 75 7 is be AUX asir-4814 75 8 equal equal ADJ asir-4814 75 9 to to ADP asir-4814 75 10 n n CCONJ asir-4814 75 11 ) ) PUNCT asir-4814 75 12 are be AUX asir-4814 75 13 located locate VERB asir-4814 75 14 on on ADP asir-4814 75 15 the the DET asir-4814 75 16 conductors conductor NOUN asir-4814 75 17 i i PRON asir-4814 75 18 , , PUNCT asir-4814 75 19 corresponding correspond VERB asir-4814 75 20 to to ADP asir-4814 75 21 passive passive ADJ asir-4814 75 22 radiators radiator NOUN asir-4814 75 23 . . PUNCT asir-4814 76 1 they they PRON asir-4814 76 2 are be AUX asir-4814 76 3 equal equal ADJ asir-4814 76 4 to to ADP asir-4814 76 5 βˆ’π‘„π‘– βˆ’π‘„π‘– PROPN asir-4814 76 6 and and CCONJ asir-4814 76 7 their their PRON asir-4814 76 8 sum sum NOUN asir-4814 76 9 is be AUX asir-4814 76 10 βˆ‘ βˆ‘ PROPN asir-4814 76 11 ( ( PUNCT asir-4814 76 12 βˆ’π‘„π‘– βˆ’π‘„π‘– PROPN asir-4814 76 13 ) ) PUNCT asir-4814 76 14 = = PRON asir-4814 77 1 βˆ’π‘„0 βˆ’π‘„0 VERB asir-4814 77 2 𝑁 𝑁 PROPN asir-4814 77 3 𝑖=1 𝑖=1 PROPN asir-4814 77 4 , , PUNCT asir-4814 77 5 i.e. i.e. X asir-4814 77 6 , , PUNCT asir-4814 77 7 the the DET asir-4814 77 8 sum sum NOUN asir-4814 77 9 of of ADP asir-4814 77 10 all all DET asir-4814 77 11 charges charge NOUN asir-4814 77 12 is be AUX asir-4814 77 13 zero zero NUM asir-4814 77 14 and and CCONJ asir-4814 77 15 the the DET asir-4814 77 16 conductors conductor NOUN asir-4814 77 17 form form VERB asir-4814 77 18 an an DET asir-4814 77 19 electrically electrically ADV asir-4814 77 20 neutral neutral ADJ asir-4814 77 21 system system NOUN asir-4814 77 22 . . PUNCT asir-4814 78 1 in in ADP asir-4814 78 2 this this DET asir-4814 78 3 system system NOUN asir-4814 78 4 𝑄𝑖 𝑄𝑖 PROPN asir-4814 78 5 𝑄0 𝑄0 PUNCT asir-4814 78 6 = = PUNCT asir-4814 78 7 𝐢0𝑖 𝐢0𝑖 PROPN asir-4814 78 8 βˆ‘πΆ0𝑖 βˆ‘πΆ0𝑖 NUM asir-4814 78 9 , , PUNCT asir-4814 78 10 ( ( PUNCT asir-4814 78 11 𝑖 𝑖 X asir-4814 78 12 ) ) PUNCT asir-4814 78 13 ⁄⁄ ⁄⁄ NUM asir-4814 78 14 where where SCONJ asir-4814 78 15 𝐢0𝑖 𝐢0𝑖 PROPN asir-4814 78 16 is be AUX asir-4814 78 17 the the DET asir-4814 78 18 partial partial ADJ asir-4814 78 19 capacitance capacitance NOUN asir-4814 78 20 between between ADP asir-4814 78 21 conductors conductor NOUN asir-4814 78 22 0 0 PUNCT asir-4814 78 23 and and CCONJ asir-4814 78 24 i. i. NOUN asir-4814 78 25 as as SCONJ asir-4814 78 26 it it PRON asir-4814 78 27 follows follow VERB asir-4814 78 28 from from ADP asir-4814 78 29 this this DET asir-4814 78 30 equality equality NOUN asir-4814 78 31 , , PUNCT asir-4814 78 32 the the DET asir-4814 78 33 charges charge NOUN asir-4814 78 34 of of ADP asir-4814 78 35 the the DET asir-4814 78 36 conductors conductor NOUN asir-4814 78 37 i i PRON asir-4814 78 38 are be AUX asir-4814 78 39 directly directly ADV asir-4814 78 40 proportional proportional ADJ asir-4814 78 41 to to ADP asir-4814 78 42 the the DET asir-4814 78 43 partial partial ADJ asir-4814 78 44 capacitances capacitance NOUN asir-4814 78 45 𝐢0𝑖 𝐢0𝑖 PROPN asir-4814 78 46 between between ADP asir-4814 78 47 these these DET asir-4814 78 48 conductors conductor NOUN asir-4814 78 49 and and CCONJ asir-4814 78 50 the the DET asir-4814 78 51 conductor conductor NOUN asir-4814 78 52 0 0 X asir-4814 78 53 . . PUNCT asir-4814 79 1 see see VERB asir-4814 79 2 , , PUNCT asir-4814 79 3 for for ADP asir-4814 79 4 example example NOUN asir-4814 79 5 , , PUNCT asir-4814 79 6 ( ( PUNCT asir-4814 79 7 iossel iossel ADJ asir-4814 79 8 , , PUNCT asir-4814 79 9 kochanov kochanov NOUN asir-4814 79 10 , , PUNCT asir-4814 79 11 & & CCONJ asir-4814 79 12 strunsky strunsky PROPN asir-4814 79 13 , , PUNCT asir-4814 79 14 1981 1981 NUM asir-4814 79 15 ) ) PUNCT asir-4814 79 16 . . PUNCT asir-4814 80 1 equivalent equivalent ADJ asir-4814 80 2 replacement replacement NOUN asir-4814 80 3 of of ADP asir-4814 80 4 a a DET asir-4814 80 5 complex complex ADJ asir-4814 80 6 structure structure NOUN asir-4814 80 7 of of ADP asir-4814 80 8 high high ADJ asir-4814 80 9 - - PUNCT asir-4814 80 10 frequency frequency NOUN asir-4814 80 11 radiators radiator NOUN asir-4814 80 12 by by ADP asir-4814 80 13 a a DET asir-4814 80 14 structure structure NOUN asir-4814 80 15 with with ADP asir-4814 80 16 constant constant ADJ asir-4814 80 17 charges charge NOUN asir-4814 80 18 placed place VERB asir-4814 80 19 on on ADP asir-4814 80 20 conductors conductor NOUN asir-4814 80 21 sharply sharply ADV asir-4814 80 22 simplifies simplify VERB asir-4814 80 23 the the DET asir-4814 80 24 problem problem NOUN asir-4814 80 25 , , PUNCT asir-4814 80 26 reducing reduce VERB asir-4814 80 27 it it PRON asir-4814 80 28 to to ADP asir-4814 80 29 the the DET asir-4814 80 30 electrostatic electrostatic ADJ asir-4814 80 31 problem problem NOUN asir-4814 80 32 . . PUNCT asir-4814 81 1 in in ADP asir-4814 81 2 accordance accordance NOUN asir-4814 81 3 with with ADP asir-4814 81 4 what what PRON asir-4814 81 5 has have AUX asir-4814 81 6 been be AUX asir-4814 81 7 said say VERB asir-4814 81 8 , , PUNCT asir-4814 81 9 it it PRON asir-4814 81 10 is be AUX asir-4814 81 11 natural natural ADJ asir-4814 81 12 to to PART asir-4814 81 13 call call VERB asir-4814 81 14 the the DET asir-4814 81 15 proposed propose VERB asir-4814 81 16 method method NOUN asir-4814 81 17 by by ADP asir-4814 81 18 the the DET asir-4814 81 19 method method NOUN asir-4814 81 20 of of ADP asir-4814 81 21 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 81 22 applied apply VERB asir-4814 81 23 science science NOUN asir-4814 81 24 and and CCONJ asir-4814 81 25 innovative innovative ADJ asir-4814 81 26 research research NOUN asir-4814 81 27 vol vol NOUN asir-4814 81 28 . . PROPN asir-4814 82 1 6 6 NUM asir-4814 82 2 , , PUNCT asir-4814 82 3 no no INTJ asir-4814 82 4 . . NOUN asir-4814 82 5 2 2 NUM asir-4814 82 6 , , PUNCT asir-4814 82 7 2022 2022 NUM asir-4814 82 8 75 75 NUM asir-4814 82 9 published publish VERB asir-4814 82 10 by by ADP asir-4814 82 11 scholink scholink PROPN asir-4814 82 12 inc inc PROPN asir-4814 82 13 . . PROPN asir-4814 82 14 electrostatic electrostatic ADJ asir-4814 82 15 analogy analogy NOUN asir-4814 82 16 . . PUNCT asir-4814 83 1 the the DET asir-4814 83 2 considered consider VERB asir-4814 83 3 method method NOUN asir-4814 83 4 allows allow VERB asir-4814 83 5 analyzing analyze VERB asir-4814 83 6 the the DET asir-4814 83 7 problem problem NOUN asir-4814 83 8 in in ADP asir-4814 83 9 a a DET asir-4814 83 10 general general ADJ asir-4814 83 11 view view NOUN asir-4814 83 12 , , PUNCT asir-4814 83 13 for for ADP asir-4814 83 14 example example NOUN asir-4814 83 15 , , PUNCT asir-4814 83 16 to to PART asir-4814 83 17 study study VERB asir-4814 83 18 and and CCONJ asir-4814 83 19 to to PART asir-4814 83 20 compare compare VERB asir-4814 83 21 different different ADJ asir-4814 83 22 laws law NOUN asir-4814 83 23 of of ADP asir-4814 83 24 current current ADJ asir-4814 83 25 distribution distribution NOUN asir-4814 83 26 along along ADP asir-4814 83 27 the the DET asir-4814 83 28 individual individual ADJ asir-4814 83 29 radiators radiator NOUN asir-4814 83 30 . . PUNCT asir-4814 84 1 this this PRON asir-4814 84 2 is be AUX asir-4814 84 3 an an DET asir-4814 84 4 undoubted undoubted ADJ asir-4814 84 5 advantage advantage NOUN asir-4814 84 6 of of ADP asir-4814 84 7 the the DET asir-4814 84 8 method method NOUN asir-4814 84 9 . . PUNCT asir-4814 85 1 characteristics characteristic NOUN asir-4814 85 2 of of ADP asir-4814 85 3 complex complex ADJ asir-4814 85 4 antennas antenna NOUN asir-4814 85 5 are be AUX asir-4814 85 6 usually usually ADV asir-4814 85 7 calculated calculate VERB asir-4814 85 8 using use VERB asir-4814 85 9 complex complex ADJ asir-4814 85 10 programs program NOUN asir-4814 85 11 based base VERB asir-4814 85 12 on on ADP asir-4814 85 13 the the DET asir-4814 85 14 moments moment NOUN asir-4814 85 15 method method NOUN asir-4814 85 16 . . PUNCT asir-4814 86 1 for for ADP asir-4814 86 2 discussed discuss VERB asir-4814 86 3 problems problem NOUN asir-4814 86 4 , , PUNCT asir-4814 86 5 such such DET asir-4814 86 6 a a DET asir-4814 86 7 method method NOUN asir-4814 86 8 is be AUX asir-4814 86 9 in in ADP asir-4814 86 10 essence essence NOUN asir-4814 86 11 a a DET asir-4814 86 12 trial trial NOUN asir-4814 86 13 - - PUNCT asir-4814 86 14 and and CCONJ asir-4814 86 15 - - PUNCT asir-4814 86 16 error error NOUN asir-4814 86 17 method method NOUN asir-4814 86 18 . . PUNCT asir-4814 87 1 the the DET asir-4814 87 2 moments moment NOUN asir-4814 87 3 method method NOUN asir-4814 87 4 does do AUX asir-4814 87 5 not not PART asir-4814 87 6 permit permit VERB asir-4814 87 7 comparison comparison NOUN asir-4814 87 8 of of ADP asir-4814 87 9 antennas antenna NOUN asir-4814 87 10 with with ADP asir-4814 87 11 different different ADJ asir-4814 87 12 distribution distribution NOUN asir-4814 87 13 of of ADP asir-4814 87 14 currents current NOUN asir-4814 87 15 in in ADP asir-4814 87 16 a a DET asir-4814 87 17 common common ADJ asir-4814 87 18 view view NOUN asir-4814 87 19 . . PUNCT asir-4814 88 1 therefore therefore ADV asir-4814 88 2 , , PUNCT asir-4814 88 3 this this DET asir-4814 88 4 method method NOUN asir-4814 88 5 is be AUX asir-4814 88 6 not not PART asir-4814 88 7 applicable applicable ADJ asir-4814 88 8 here here ADV asir-4814 88 9 . . PUNCT asir-4814 89 1 the the DET asir-4814 89 2 approximate approximate ADJ asir-4814 89 3 method method NOUN asir-4814 89 4 does do AUX asir-4814 89 5 not not PART asir-4814 89 6 give give VERB asir-4814 89 7 exact exact ADJ asir-4814 89 8 results result NOUN asir-4814 89 9 . . PUNCT asir-4814 90 1 but but CCONJ asir-4814 90 2 if if SCONJ asir-4814 90 3 this this DET asir-4814 90 4 method method NOUN asir-4814 90 5 is be AUX asir-4814 90 6 correct correct ADJ asir-4814 90 7 , , PUNCT asir-4814 90 8 i.e. i.e. X asir-4814 90 9 corresponds correspond NOUN asir-4814 90 10 to to ADP asir-4814 90 11 the the DET asir-4814 90 12 physical physical ADJ asir-4814 90 13 essence essence NOUN asir-4814 90 14 of of ADP asir-4814 90 15 the the DET asir-4814 90 16 problem problem NOUN asir-4814 90 17 , , PUNCT asir-4814 90 18 its its PRON asir-4814 90 19 accuracy accuracy NOUN asir-4814 90 20 is be AUX asir-4814 90 21 the the DET asir-4814 90 22 same same ADJ asir-4814 90 23 for for ADP asir-4814 90 24 different different ADJ asir-4814 90 25 distributions distribution NOUN asir-4814 90 26 of of ADP asir-4814 90 27 the the DET asir-4814 90 28 current current NOUN asir-4814 90 29 , , PUNCT asir-4814 90 30 and and CCONJ asir-4814 90 31 it it PRON asir-4814 90 32 allows allow VERB asir-4814 90 33 us we PRON asir-4814 90 34 to to PART asir-4814 90 35 choose choose VERB asir-4814 90 36 the the DET asir-4814 90 37 best good ADJ asir-4814 90 38 option option NOUN asir-4814 90 39 . . PUNCT asir-4814 91 1 3 3 X asir-4814 91 2 . . X asir-4814 91 3 director director NOUN asir-4814 91 4 antenna antenna NOUN asir-4814 91 5 it it PRON asir-4814 91 6 is be AUX asir-4814 91 7 expedient expedient ADJ asir-4814 91 8 to to PART asir-4814 91 9 consider consider VERB asir-4814 91 10 the the DET asir-4814 91 11 procedure procedure NOUN asir-4814 91 12 of of ADP asir-4814 91 13 applying apply VERB asir-4814 91 14 the the DET asir-4814 91 15 electrostatic electrostatic ADJ asir-4814 91 16 analogy analogy NOUN asir-4814 91 17 method method NOUN asir-4814 91 18 on on ADP asir-4814 91 19 a a DET asir-4814 91 20 concrete concrete ADJ asir-4814 91 21 example example NOUN asir-4814 91 22 . . PUNCT asir-4814 92 1 as as ADP asir-4814 92 2 an an DET asir-4814 92 3 example example NOUN asir-4814 92 4 , , PUNCT asir-4814 92 5 the the DET asir-4814 92 6 director director NOUN asir-4814 92 7 antenna antenna NOUN asir-4814 92 8 ( ( PUNCT asir-4814 92 9 yagi yagi ADJ asir-4814 92 10 - - PUNCT asir-4814 92 11 uda uda NOUN asir-4814 92 12 antenna antenna NOUN asir-4814 92 13 ) ) PUNCT asir-4814 92 14 described describe VERB asir-4814 92 15 in in ADP asir-4814 92 16 ( ( PUNCT asir-4814 92 17 chaplin chaplin PROPN asir-4814 92 18 , , PUNCT asir-4814 92 19 buchazky buchazky PROPN asir-4814 92 20 , , PUNCT asir-4814 92 21 & & CCONJ asir-4814 92 22 mihailov mihailov PROPN asir-4814 92 23 , , PUNCT asir-4814 92 24 1983 1983 NUM asir-4814 92 25 ) ) PUNCT asir-4814 92 26 . . PUNCT asir-4814 93 1 was be AUX asir-4814 93 2 adopted adopt VERB asir-4814 93 3 . . PUNCT asir-4814 94 1 this this DET asir-4814 94 2 article article NOUN asir-4814 94 3 was be AUX asir-4814 94 4 one one NUM asir-4814 94 5 of of ADP asir-4814 94 6 the the DET asir-4814 94 7 first first ADJ asir-4814 94 8 and and CCONJ asir-4814 94 9 most most ADV asir-4814 94 10 profound profound ADJ asir-4814 94 11 works work NOUN asir-4814 94 12 devoted devote VERB asir-4814 94 13 to to ADP asir-4814 94 14 optimization optimization NOUN asir-4814 94 15 of of ADP asir-4814 94 16 directional directional ADJ asir-4814 94 17 antennas antenna NOUN asir-4814 94 18 . . PUNCT asir-4814 95 1 the the DET asir-4814 95 2 antenna antenna NOUN asir-4814 95 3 circuit circuit NOUN asir-4814 95 4 is be AUX asir-4814 95 5 given give VERB asir-4814 95 6 in in ADP asir-4814 95 7 figure figure NOUN asir-4814 95 8 1 1 NUM asir-4814 95 9 . . PUNCT asir-4814 96 1 the the DET asir-4814 96 2 antenna antenna NOUN asir-4814 96 3 consists consist VERB asir-4814 96 4 of of ADP asir-4814 96 5 four four NUM asir-4814 96 6 metal metal NOUN asir-4814 96 7 radiators radiator NOUN asir-4814 96 8 , , PUNCT asir-4814 96 9 their their PRON asir-4814 96 10 numbers number NOUN asir-4814 96 11 are be AUX asir-4814 96 12 given give VERB asir-4814 96 13 in in ADP asir-4814 96 14 parentheses parenthesis NOUN asir-4814 96 15 : : PUNCT asir-4814 96 16 active active ADJ asir-4814 96 17 radiator radiator NOUN asir-4814 96 18 0 0 NUM asir-4814 96 19 , , PUNCT asir-4814 96 20 reflector reflector NOUN asir-4814 96 21 1 1 NUM asir-4814 96 22 , , PUNCT asir-4814 96 23 directors director NOUN asir-4814 96 24 2 2 NUM asir-4814 96 25 and and CCONJ asir-4814 96 26 3 3 NUM asir-4814 96 27 . . PUNCT asir-4814 97 1 the the DET asir-4814 97 2 antenna antenna NOUN asir-4814 97 3 dimensions dimension NOUN asir-4814 97 4 are be AUX asir-4814 97 5 shown show VERB asir-4814 97 6 in in ADP asir-4814 97 7 figure figure NOUN asir-4814 97 8 in in ADP asir-4814 97 9 metres metre NOUN asir-4814 97 10 . . PUNCT asir-4814 98 1 they they PRON asir-4814 98 2 were be AUX asir-4814 98 3 defined define VERB asir-4814 98 4 by by ADP asir-4814 98 5 solving solve VERB asir-4814 98 6 the the DET asir-4814 98 7 optimization optimization NOUN asir-4814 98 8 problem problem NOUN asir-4814 98 9 in in ADP asir-4814 98 10 a a DET asir-4814 98 11 rigorous rigorous ADJ asir-4814 98 12 formulation formulation NOUN asir-4814 98 13 . . PUNCT asir-4814 99 1 let let VERB asir-4814 99 2 ’s ’s PRON asir-4814 99 3 start start VERB asir-4814 99 4 with with ADP asir-4814 99 5 the the DET asir-4814 99 6 capacitance capacitance NOUN asir-4814 99 7 between between ADP asir-4814 99 8 the the DET asir-4814 99 9 wires wire NOUN asir-4814 99 10 . . PUNCT asir-4814 100 1 if if SCONJ asir-4814 100 2 the the DET asir-4814 100 3 radii radius NOUN asir-4814 100 4 of of ADP asir-4814 100 5 the the DET asir-4814 100 6 wires wire NOUN asir-4814 100 7 i i PRON asir-4814 100 8 and and CCONJ asir-4814 100 9 0 0 NUM asir-4814 100 10 are be AUX asir-4814 100 11 the the DET asir-4814 100 12 same same ADJ asir-4814 100 13 and and CCONJ asir-4814 100 14 equal equal ADJ asir-4814 100 15 to to ADP asir-4814 100 16 a a DET asir-4814 100 17 = = SYM asir-4814 100 18 0.001 0.001 NUM asir-4814 100 19 m m NOUN asir-4814 100 20 and and CCONJ asir-4814 100 21 the the DET asir-4814 100 22 lengths length NOUN asir-4814 100 23 𝑙0 𝑙0 VERB asir-4814 100 24 and and CCONJ asir-4814 100 25 𝑙𝑖 𝑙𝑖 PROPN asir-4814 100 26 of of ADP asir-4814 100 27 these these DET asir-4814 100 28 wires wire NOUN asir-4814 100 29 are be AUX asir-4814 100 30 slightly slightly ADV asir-4814 100 31 different different ADJ asir-4814 100 32 from from ADP asir-4814 100 33 each each DET asir-4814 100 34 other other ADJ asir-4814 100 35 , , PUNCT asir-4814 100 36 then then ADV asir-4814 100 37 the the DET asir-4814 100 38 partial partial ADJ asir-4814 100 39 capacitance capacitance NOUN asir-4814 100 40 𝐢0𝑖 𝐢0𝑖 PROPN asir-4814 100 41 between between ADP asir-4814 100 42 these these DET asir-4814 100 43 wires wire NOUN asir-4814 100 44 in in ADP asir-4814 100 45 the the DET asir-4814 100 46 first first ADJ asir-4814 100 47 approximation approximation NOUN asir-4814 100 48 is be AUX asir-4814 100 49 equal equal ADJ asir-4814 100 50 to to PART asir-4814 100 51 figure figure VERB asir-4814 100 52 1 1 NUM asir-4814 100 53 . . PUNCT asir-4814 101 1 dimensions dimension NOUN asir-4814 101 2 of of ADP asir-4814 101 3 optimized optimize VERB asir-4814 101 4 directional directional ADJ asir-4814 101 5 antenna antenna NOUN asir-4814 101 6 from from ADP asir-4814 101 7 metal metal NOUN asir-4814 101 8 radiators radiator NOUN asir-4814 101 9 𝐢0𝑖 𝐢0𝑖 PROPN asir-4814 101 10 = = PUNCT asir-4814 101 11 πœ‹πœ€0𝑙𝑖 πœ‹πœ€0𝑙𝑖 PROPN asir-4814 101 12 𝑙𝑛(𝑏𝑖 𝑙𝑛(𝑏𝑖 PROPN asir-4814 101 13 π‘Žβ„ π‘Žβ„ PROPN asir-4814 101 14 ) ) PUNCT asir-4814 102 1 ⁄ ⁄ PROPN asir-4814 102 2 , , PUNCT asir-4814 102 3 where where SCONJ asir-4814 102 4 πœ€0 πœ€0 PROPN asir-4814 102 5 is be AUX asir-4814 102 6 the the DET asir-4814 102 7 medium medium ADJ asir-4814 102 8 permittivity permittivity NOUN asir-4814 102 9 and and CCONJ asir-4814 102 10 𝑏𝑖 𝑏𝑖 NOUN asir-4814 102 11 is be AUX asir-4814 102 12 the the DET asir-4814 102 13 distance distance NOUN asir-4814 102 14 between between ADP asir-4814 102 15 the the DET asir-4814 102 16 wires wire NOUN asir-4814 102 17 . . PUNCT asir-4814 103 1 if if SCONJ asir-4814 103 2 to to PART asir-4814 103 3 divide divide VERB asir-4814 103 4 the the DET asir-4814 103 5 wire wire NOUN asir-4814 103 6 0 0 NUM asir-4814 103 7 of of ADP asir-4814 103 8 the the DET asir-4814 103 9 antenna antenna NOUN asir-4814 103 10 into into ADP asir-4814 103 11 three three NUM asir-4814 103 12 conductors conductor NOUN asir-4814 103 13 and and CCONJ asir-4814 103 14 to to PART asir-4814 103 15 denote denote VERB asir-4814 103 16 these these DET asir-4814 103 17 conductors conductor NOUN asir-4814 103 18 by by ADP asir-4814 103 19 indices index NOUN asir-4814 103 20 0i 0i PROPN asir-4814 103 21 , , PUNCT asir-4814 103 22 then then ADV asir-4814 103 23 the the DET asir-4814 103 24 circuit circuit NOUN asir-4814 103 25 is be AUX asir-4814 103 26 divided divide VERB asir-4814 103 27 into into ADP asir-4814 103 28 three three NUM asir-4814 103 29 circuits circuit NOUN asir-4814 103 30 . . PUNCT asir-4814 104 1 each each DET asir-4814 104 2 circuit circuit NOUN asir-4814 104 3 consists consist VERB asir-4814 104 4 of of ADP asir-4814 104 5 two two NUM asir-4814 104 6 conductors conductor NOUN asir-4814 104 7 : : PUNCT asir-4814 104 8 of of ADP asir-4814 104 9 conductor conductor NOUN asir-4814 104 10 i i PRON asir-4814 104 11 and and CCONJ asir-4814 104 12 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir VERB asir-4814 104 13 applied apply VERB asir-4814 104 14 science science NOUN asir-4814 104 15 and and CCONJ asir-4814 104 16 innovative innovative ADJ asir-4814 104 17 research research NOUN asir-4814 104 18 vol vol NOUN asir-4814 104 19 . . PROPN asir-4814 105 1 6 6 NUM asir-4814 105 2 , , PUNCT asir-4814 105 3 no no INTJ asir-4814 105 4 . . NOUN asir-4814 105 5 2 2 NUM asir-4814 105 6 , , PUNCT asir-4814 105 7 2022 2022 NUM asir-4814 105 8 76 76 NUM asir-4814 105 9 published publish VERB asir-4814 105 10 by by ADP asir-4814 105 11 scholink scholink PROPN asir-4814 105 12 inc inc PROPN asir-4814 105 13 . . PROPN asir-4814 105 14 conductor conductor PROPN asir-4814 105 15 0i 0i PROPN asir-4814 105 16 ( ( PUNCT asir-4814 105 17 figure figure NOUN asir-4814 105 18 2 2 NUM asir-4814 105 19 ) ) PUNCT asir-4814 105 20 . . PUNCT asir-4814 106 1 the the DET asir-4814 106 2 generator generator NOUN asir-4814 106 3 is be AUX asir-4814 106 4 consists consist NOUN asir-4814 106 5 of of ADP asir-4814 106 6 three three NUM asir-4814 106 7 generators generator NOUN asir-4814 106 8 located locate VERB asir-4814 106 9 in in ADP asir-4814 106 10 the the DET asir-4814 106 11 centers center NOUN asir-4814 106 12 of of ADP asir-4814 106 13 conductors conductor NOUN asir-4814 106 14 0i 0i NOUN asir-4814 106 15 . . PUNCT asir-4814 107 1 their their PRON asir-4814 107 2 emfs emfs PROPN asir-4814 107 3 are be AUX asir-4814 107 4 defined define VERB asir-4814 107 5 as as ADP asir-4814 107 6 𝑒𝑖 𝑒𝑖 NOUN asir-4814 107 7 = = PUNCT asir-4814 107 8 𝑒 𝑒 PROPN asir-4814 107 9 𝑄𝑖 𝑄𝑖 PROPN asir-4814 107 10 𝑄0,⁄ 𝑄0,⁄ NOUN asir-4814 107 11 where where SCONJ asir-4814 107 12 e e NOUN asir-4814 107 13 is be AUX asir-4814 107 14 the the DET asir-4814 107 15 emf emf NOUN asir-4814 107 16 of of ADP asir-4814 107 17 the the DET asir-4814 107 18 active active ADJ asir-4814 107 19 radiator radiator NOUN asir-4814 107 20 0 0 NUM asir-4814 107 21 . . PUNCT asir-4814 108 1 as as SCONJ asir-4814 108 2 follows follow VERB asir-4814 108 3 from from ADP asir-4814 108 4 the the DET asir-4814 108 5 said say VERB asir-4814 108 6 , , PUNCT asir-4814 108 7 the the DET asir-4814 108 8 calculation calculation NOUN asir-4814 108 9 of of ADP asir-4814 108 10 the the DET asir-4814 108 11 electromagnetic electromagnetic ADJ asir-4814 108 12 field field NOUN asir-4814 108 13 of of ADP asir-4814 108 14 the the DET asir-4814 108 15 presented present VERB asir-4814 108 16 antenna antenna NOUN asir-4814 108 17 is be AUX asir-4814 108 18 reduced reduce VERB asir-4814 108 19 to to ADP asir-4814 108 20 a a DET asir-4814 108 21 calculation calculation NOUN asir-4814 108 22 of of ADP asir-4814 108 23 the the DET asir-4814 108 24 fields field NOUN asir-4814 108 25 created create VERB asir-4814 108 26 by by ADP asir-4814 108 27 the the DET asir-4814 108 28 separate separate ADJ asir-4814 108 29 generators generator NOUN asir-4814 108 30 and and CCONJ asir-4814 108 31 to to ADP asir-4814 108 32 the the DET asir-4814 108 33 summation summation NOUN asir-4814 108 34 of of ADP asir-4814 108 35 the the DET asir-4814 108 36 obtained obtain VERB asir-4814 108 37 results result NOUN asir-4814 108 38 . . PUNCT asir-4814 109 1 since since SCONJ asir-4814 109 2 all all DET asir-4814 109 3 elements element NOUN asir-4814 109 4 of of ADP asir-4814 109 5 the the DET asir-4814 109 6 system system NOUN asir-4814 109 7 are be AUX asir-4814 109 8 known know VERB asir-4814 109 9 , , PUNCT asir-4814 109 10 calculations calculation NOUN asir-4814 109 11 can can AUX asir-4814 109 12 be be AUX asir-4814 109 13 performed perform VERB asir-4814 109 14 using use VERB asir-4814 109 15 a a DET asir-4814 109 16 program program NOUN asir-4814 109 17 based base VERB asir-4814 109 18 on on ADP asir-4814 109 19 the the DET asir-4814 109 20 method method NOUN asir-4814 109 21 of of ADP asir-4814 109 22 moments moment NOUN asir-4814 109 23 . . PUNCT asir-4814 110 1 as as ADP asir-4814 110 2 another another DET asir-4814 110 3 variant variant NOUN asir-4814 110 4 of of ADP asir-4814 110 5 the the DET asir-4814 110 6 calculation calculation NOUN asir-4814 110 7 , , PUNCT asir-4814 110 8 the the DET asir-4814 110 9 procedure procedure NOUN asir-4814 110 10 based base VERB asir-4814 110 11 on on ADP asir-4814 110 12 the the DET asir-4814 110 13 described describe VERB asir-4814 110 14 in in ADP asir-4814 110 15 ( ( PUNCT asir-4814 110 16 king king NOUN asir-4814 110 17 & & CCONJ asir-4814 110 18 harrison harrison PROPN asir-4814 110 19 , , PUNCT asir-4814 110 20 1970 1970 NUM asir-4814 110 21 ) ) PUNCT asir-4814 110 22 theory theory NOUN asir-4814 110 23 of of ADP asir-4814 110 24 folded fold VERB asir-4814 110 25 antennas antenna NOUN asir-4814 110 26 can can AUX asir-4814 110 27 be be AUX asir-4814 110 28 used use VERB asir-4814 110 29 . . PUNCT asir-4814 111 1 this this DET asir-4814 111 2 procedure procedure NOUN asir-4814 111 3 makes make VERB asir-4814 111 4 possible possible ADJ asir-4814 111 5 to to PART asir-4814 111 6 receive receive VERB asir-4814 111 7 results result NOUN asir-4814 111 8 in in ADP asir-4814 111 9 the the DET asir-4814 111 10 form form NOUN asir-4814 111 11 of of ADP asir-4814 111 12 analytical analytical ADJ asir-4814 111 13 expression expression NOUN asir-4814 111 14 . . PUNCT asir-4814 112 1 in in ADP asir-4814 112 2 this this DET asir-4814 112 3 case case NOUN asir-4814 112 4 the the DET asir-4814 112 5 structure structure NOUN asir-4814 112 6 of of ADP asir-4814 112 7 the the DET asir-4814 112 8 directional directional ADJ asir-4814 112 9 antenna antenna NOUN asir-4814 112 10 is be AUX asir-4814 112 11 reduced reduce VERB asir-4814 112 12 to to ADP asir-4814 112 13 three three NUM asir-4814 112 14 circuits circuit NOUN asir-4814 112 15 , , PUNCT asir-4814 112 16 one one NUM asir-4814 112 17 of of ADP asir-4814 112 18 them they PRON asir-4814 112 19 is be AUX asir-4814 112 20 shown show VERB asir-4814 112 21 in in ADP asir-4814 112 22 figure figure NOUN asir-4814 112 23 2 2 NUM asir-4814 112 24 . . PUNCT asir-4814 112 25 using use VERB asir-4814 112 26 approximate approximate ADJ asir-4814 112 27 expressions expression NOUN asir-4814 112 28 for for ADP asir-4814 112 29 the the DET asir-4814 112 30 active active ADJ asir-4814 112 31 and and CCONJ asir-4814 112 32 reactive reactive ADJ asir-4814 112 33 components component NOUN asir-4814 112 34 of of ADP asir-4814 112 35 the the DET asir-4814 112 36 dipole dipole NOUN asir-4814 112 37 input input NOUN asir-4814 112 38 impedance impedance NOUN asir-4814 112 39 and and CCONJ asir-4814 112 40 for for ADP asir-4814 112 41 the the DET asir-4814 112 42 reactance reactance NOUN asir-4814 112 43 of of ADP asir-4814 112 44 a a DET asir-4814 112 45 long long ADJ asir-4814 112 46 line line NOUN asir-4814 112 47 , , PUNCT asir-4814 112 48 calculating calculate VERB asir-4814 112 49 the the DET asir-4814 112 50 currents current NOUN asir-4814 112 51 in in ADP asir-4814 112 52 the the DET asir-4814 112 53 circuit circuit NOUN asir-4814 112 54 elements element NOUN asir-4814 112 55 and and CCONJ asir-4814 112 56 summing sum VERB asir-4814 112 57 the the DET asir-4814 112 58 currents current NOUN asir-4814 112 59 in in ADP asir-4814 112 60 the the DET asir-4814 112 61 wires wire NOUN asir-4814 112 62 , , PUNCT asir-4814 112 63 it it PRON asir-4814 112 64 is be AUX asir-4814 112 65 possible possible ADJ asir-4814 112 66 to to PART asir-4814 112 67 determine determine VERB asir-4814 112 68 the the DET asir-4814 112 69 total total ADJ asir-4814 112 70 field field NOUN asir-4814 112 71 at at ADP asir-4814 112 72 the the DET asir-4814 112 73 observation observation NOUN asir-4814 112 74 point point NOUN asir-4814 112 75 , , PUNCT asir-4814 112 76 taking take VERB asir-4814 112 77 in in ADP asir-4814 112 78 the the DET asir-4814 112 79 account account NOUN asir-4814 112 80 distance distance NOUN asir-4814 112 81 from from ADP asir-4814 112 82 each each DET asir-4814 112 83 wire wire NOUN asir-4814 112 84 to to ADP asir-4814 112 85 this this DET asir-4814 112 86 point point NOUN asir-4814 112 87 . . PUNCT asir-4814 113 1 electrostatic electrostatic ADJ asir-4814 113 2 analogy analogy NOUN asir-4814 113 3 between between ADP asir-4814 113 4 emfs emfs PROPN asir-4814 113 5 in in ADP asir-4814 113 6 the the DET asir-4814 113 7 radiator radiator NOUN asir-4814 113 8 centers center NOUN asir-4814 113 9 and and CCONJ asir-4814 113 10 the the DET asir-4814 113 11 charges charge NOUN asir-4814 113 12 of of ADP asir-4814 113 13 conductors conductor NOUN asir-4814 113 14 is be AUX asir-4814 113 15 approximate approximate ADJ asir-4814 113 16 in in ADP asir-4814 113 17 nature nature NOUN asir-4814 113 18 . . PUNCT asir-4814 114 1 but but CCONJ asir-4814 114 2 if if SCONJ asir-4814 114 3 this this DET asir-4814 114 4 approach approach NOUN asir-4814 114 5 is be AUX asir-4814 114 6 correct correct ADJ asir-4814 114 7 , , PUNCT asir-4814 114 8 i.e. i.e. X asir-4814 114 9 , , PUNCT asir-4814 114 10 corresponds correspond VERB asir-4814 114 11 to to ADP asir-4814 114 12 the the DET asir-4814 114 13 physical physical ADJ asir-4814 114 14 essence essence NOUN asir-4814 114 15 of of ADP asir-4814 114 16 the the DET asir-4814 114 17 problem problem NOUN asir-4814 114 18 , , PUNCT asir-4814 114 19 then then ADV asir-4814 114 20 its its PRON asir-4814 114 21 accuracy accuracy NOUN asir-4814 114 22 is be AUX asir-4814 114 23 the the DET asir-4814 114 24 same same ADJ asir-4814 114 25 for for ADP asir-4814 114 26 different different ADJ asir-4814 114 27 laws law NOUN asir-4814 114 28 of of ADP asir-4814 114 29 current current ADJ asir-4814 114 30 distribution distribution NOUN asir-4814 114 31 and and CCONJ asir-4814 114 32 allows allow VERB asir-4814 114 33 us we PRON asir-4814 114 34 to to PART asir-4814 114 35 choose choose VERB asir-4814 114 36 the the DET asir-4814 114 37 best good ADJ asir-4814 114 38 option option NOUN asir-4814 114 39 . . PUNCT asir-4814 115 1 figure figure NOUN asir-4814 115 2 2 2 NUM asir-4814 115 3 . . PUNCT asir-4814 115 4 circuit circuit NOUN asir-4814 115 5 from from ADP asir-4814 115 6 two two NUM asir-4814 115 7 parallel parallel ADJ asir-4814 115 8 vertical vertical ADJ asir-4814 115 9 conductors conductor NOUN asir-4814 115 10 as as SCONJ asir-4814 115 11 is be AUX asir-4814 115 12 shown show VERB asir-4814 115 13 in in ADP asir-4814 115 14 the the DET asir-4814 115 15 theory theory NOUN asir-4814 115 16 of of ADP asir-4814 115 17 folded fold VERB asir-4814 115 18 antennas antenna NOUN asir-4814 115 19 , , PUNCT asir-4814 115 20 the the DET asir-4814 115 21 circuit circuit NOUN asir-4814 115 22 of of ADP asir-4814 115 23 two two NUM asir-4814 115 24 parallel parallel ADJ asir-4814 115 25 vertical vertical ADJ asir-4814 115 26 wires wire NOUN asir-4814 115 27 with with ADP asir-4814 115 28 identical identical ADJ asir-4814 115 29 dimensions dimension NOUN asir-4814 115 30 located locate VERB asir-4814 115 31 at at ADP asir-4814 115 32 a a DET asir-4814 115 33 distance distance NOUN asir-4814 115 34 𝑏𝑖 𝑏𝑖 ADP asir-4814 115 35 from from ADP asir-4814 115 36 each each DET asir-4814 115 37 other other ADJ asir-4814 115 38 can can AUX asir-4814 115 39 be be AUX asir-4814 115 40 divided divide VERB asir-4814 115 41 into into ADP asir-4814 115 42 a a DET asir-4814 115 43 dipole dipole NOUN asir-4814 115 44 and and CCONJ asir-4814 115 45 a a DET asir-4814 115 46 long long ADJ asir-4814 115 47 line line NOUN asir-4814 115 48 , , PUNCT asir-4814 115 49 open open ADJ asir-4814 115 50 at at ADP asir-4814 115 51 both both DET asir-4814 115 52 ends end NOUN asir-4814 115 53 . . PUNCT asir-4814 116 1 the the DET asir-4814 116 2 current current NOUN asir-4814 116 3 at at ADP asir-4814 116 4 the the DET asir-4814 116 5 center center NOUN asir-4814 116 6 of of ADP asir-4814 116 7 each each DET asir-4814 116 8 dipole dipole NOUN asir-4814 116 9 is be AUX asir-4814 116 10 equal equal ADJ asir-4814 116 11 to to ADP asir-4814 116 12 𝐽𝑖𝑑 𝐽𝑖𝑑 PROPN asir-4814 116 13 = = SYM asir-4814 116 14 𝑒𝑖 𝑒𝑖 X asir-4814 116 15 ( ( PUNCT asir-4814 116 16 4𝑍𝑖𝑑)⁄ 4𝑍𝑖𝑑)⁄ NUM asir-4814 116 17 . . PUNCT asir-4814 117 1 the the DET asir-4814 117 2 reactive reactive ADJ asir-4814 117 3 component component NOUN asir-4814 117 4 of of ADP asir-4814 117 5 its its PRON asir-4814 117 6 input input NOUN asir-4814 117 7 impedance impedance NOUN asir-4814 117 8 is be AUX asir-4814 117 9 𝑋𝑖𝑑 𝑋𝑖𝑑 PROPN asir-4814 117 10 = = SYM asir-4814 117 11 βˆ’120 βˆ’120 ADV asir-4814 117 12 𝑙𝑛(2𝐿0 𝑙𝑛(2𝐿0 PROPN asir-4814 117 13 π‘Žπ‘’π‘–β„ π‘Žπ‘’π‘–β„ VERB asir-4814 117 14 ) ) PUNCT asir-4814 118 1 π‘π‘œπ‘‘ π‘π‘œπ‘‘ ADP asir-4814 119 1 π‘˜πΏ0 π‘˜πΏ0 PROPN asir-4814 119 2 , , PUNCT asir-4814 119 3 where where SCONJ asir-4814 119 4 𝐿0 𝐿0 ADJ asir-4814 119 5 = = SYM asir-4814 119 6 𝑙0 𝑙0 NOUN asir-4814 119 7 2 2 NUM asir-4814 119 8 ⁄ ⁄ PROPN asir-4814 119 9 is be AUX asir-4814 119 10 the the DET asir-4814 119 11 arm arm NOUN asir-4814 119 12 length length NOUN asir-4814 119 13 of of ADP asir-4814 119 14 the the DET asir-4814 119 15 active active ADJ asir-4814 119 16 radiator radiator NOUN asir-4814 119 17 , , PUNCT asir-4814 119 18 π‘Žπ‘’π‘– π‘Žπ‘’π‘– PROPN asir-4814 119 19 = = PUNCT asir-4814 120 1 βˆšπ‘Žπ‘π‘– βˆšπ‘Žπ‘π‘– ADP asir-4814 120 2 is be AUX asir-4814 120 3 its its PRON asir-4814 120 4 equivalent equivalent ADJ asir-4814 120 5 radius radius NOUN asir-4814 120 6 , , PUNCT asir-4814 120 7 k k PROPN asir-4814 120 8 is be AUX asir-4814 120 9 the the DET asir-4814 120 10 propagation propagation NOUN asir-4814 120 11 constant constant ADJ asir-4814 120 12 . . PUNCT asir-4814 121 1 the the DET asir-4814 121 2 current current NOUN asir-4814 121 3 at at ADP asir-4814 121 4 the the DET asir-4814 121 5 center center NOUN asir-4814 121 6 of of ADP asir-4814 121 7 each each DET asir-4814 121 8 wire wire NOUN asir-4814 121 9 of of ADP asir-4814 121 10 the the DET asir-4814 121 11 long long ADJ asir-4814 121 12 line line NOUN asir-4814 121 13 is be AUX asir-4814 121 14 equal equal ADJ asir-4814 121 15 to to ADP asir-4814 121 16 𝐽𝑖𝑙 𝐽𝑖𝑙 PROPN asir-4814 121 17 = = PUNCT asir-4814 121 18 𝑒𝑖 𝑒𝑖 X asir-4814 121 19 ( ( PUNCT asir-4814 121 20 2𝑗𝑋𝑖𝑙)⁄ 2𝑗𝑋𝑖𝑙)⁄ PROPN asir-4814 121 21 , , PUNCT asir-4814 121 22 where where SCONJ asir-4814 122 1 𝑗𝑋𝑖𝑙 𝑗𝑋𝑖𝑙 PROPN asir-4814 122 2 = = SYM asir-4814 122 3 βˆ’π‘—120 βˆ’π‘—120 PROPN asir-4814 122 4 𝑙𝑛(𝑏𝑖 𝑙𝑛(𝑏𝑖 PROPN asir-4814 122 5 π‘Žβ„ π‘Žβ„ PROPN asir-4814 122 6 ) ) PUNCT asir-4814 122 7 π‘π‘œπ‘‘ π‘π‘œπ‘‘ ADP asir-4814 122 8 π‘˜ π‘˜ DET asir-4814 122 9 𝐿𝑖 𝐿𝑖 NOUN asir-4814 122 10 is be AUX asir-4814 122 11 the the DET asir-4814 122 12 reactive reactive ADJ asir-4814 122 13 input input NOUN asir-4814 122 14 impedance impedance NOUN asir-4814 122 15 of of ADP asir-4814 122 16 the the DET asir-4814 122 17 long long ADJ asir-4814 122 18 line line NOUN asir-4814 122 19 with with ADP asir-4814 122 20 length length NOUN asir-4814 122 21 𝐿𝑖 𝐿𝑖 NOUN asir-4814 122 22 = = PUNCT asir-4814 122 23 𝑙𝑖 𝑙𝑖 ADP asir-4814 122 24 2⁄ 2⁄ NUM asir-4814 122 25 . . PUNCT asir-4814 123 1 the the DET asir-4814 123 2 currents current NOUN asir-4814 123 3 of of ADP asir-4814 123 4 the the DET asir-4814 123 5 active active ADJ asir-4814 123 6 ( ( PUNCT asir-4814 123 7 0i 0i NOUN asir-4814 123 8 ) ) PUNCT asir-4814 123 9 and and CCONJ asir-4814 123 10 passive passive ADJ asir-4814 123 11 ( ( PUNCT asir-4814 123 12 i i NOUN asir-4814 123 13 ) ) PUNCT asir-4814 123 14 radiators radiator NOUN asir-4814 123 15 are be AUX asir-4814 123 16 equal equal ADJ asir-4814 123 17 to to ADP asir-4814 123 18 the the DET asir-4814 123 19 sum sum NOUN asir-4814 123 20 and and CCONJ asir-4814 123 21 difference difference NOUN asir-4814 123 22 of of ADP asir-4814 123 23 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 123 24 applied apply VERB asir-4814 123 25 science science NOUN asir-4814 123 26 and and CCONJ asir-4814 123 27 innovative innovative ADJ asir-4814 123 28 research research NOUN asir-4814 123 29 vol vol NOUN asir-4814 123 30 . . PROPN asir-4814 124 1 6 6 NUM asir-4814 124 2 , , PUNCT asir-4814 124 3 no no INTJ asir-4814 124 4 . . NOUN asir-4814 124 5 2 2 NUM asir-4814 124 6 , , PUNCT asir-4814 124 7 2022 2022 NUM asir-4814 124 8 77 77 NUM asir-4814 124 9 published publish VERB asir-4814 124 10 by by ADP asir-4814 124 11 scholink scholink PROPN asir-4814 124 12 inc inc PROPN asir-4814 124 13 . . PUNCT asir-4814 125 1 the the DET asir-4814 125 2 dipole dipole NOUN asir-4814 125 3 wire wire NOUN asir-4814 125 4 current current NOUN asir-4814 125 5 𝐽𝑖𝑑 𝐽𝑖𝑑 PROPN asir-4814 125 6 and and CCONJ asir-4814 125 7 the the DET asir-4814 125 8 current current ADJ asir-4814 125 9 𝐽𝑖𝑙 𝐽𝑖𝑙 PROPN asir-4814 125 10 of of ADP asir-4814 125 11 the the DET asir-4814 125 12 long long ADJ asir-4814 125 13 line line NOUN asir-4814 125 14 , , PUNCT asir-4814 125 15 i.e. i.e. X asir-4814 125 16 , , PUNCT asir-4814 125 17 the the DET asir-4814 125 18 total total ADJ asir-4814 125 19 current current ADJ asir-4814 125 20 𝐽0 𝐽0 NOUN asir-4814 125 21 of of ADP asir-4814 125 22 the the DET asir-4814 125 23 active active ADJ asir-4814 125 24 radiator radiator NOUN asir-4814 125 25 and and CCONJ asir-4814 125 26 the the DET asir-4814 125 27 total total ADJ asir-4814 125 28 current current ADJ asir-4814 125 29 𝐽𝑖 𝐽𝑖 PROPN asir-4814 125 30 of of ADP asir-4814 125 31 each each DET asir-4814 125 32 passive passive ADJ asir-4814 125 33 radiator radiator NOUN asir-4814 125 34 are be AUX asir-4814 125 35 𝐽0 𝐽0 NOUN asir-4814 125 36 = = PUNCT asir-4814 125 37 βˆ‘(𝐽𝑖𝑑 βˆ‘(𝐽𝑖𝑑 PUNCT asir-4814 126 1 + + ADJ asir-4814 126 2 𝐽𝑖𝑙 𝐽𝑖𝑙 PROPN asir-4814 126 3 ) ) PUNCT asir-4814 126 4 , , PUNCT asir-4814 127 1 𝐽𝑖 𝐽𝑖 PROPN asir-4814 127 2 = = PUNCT asir-4814 128 1 𝐽𝑖𝑑 𝐽𝑖𝑑 NOUN asir-4814 128 2 3 3 NUM asir-4814 128 3 𝑖=1 𝑖=1 PUNCT asir-4814 128 4 βˆ’ βˆ’ PROPN asir-4814 128 5 𝐽𝑖𝑙 𝐽𝑖𝑙 PROPN asir-4814 128 6 . . PUNCT asir-4814 129 1 the the DET asir-4814 129 2 amplitude amplitude NOUN asir-4814 129 3 and and CCONJ asir-4814 129 4 phase phase NOUN asir-4814 129 5 of of ADP asir-4814 129 6 the the DET asir-4814 129 7 fields field NOUN asir-4814 129 8 created create VERB asir-4814 129 9 by by ADP asir-4814 129 10 each each DET asir-4814 129 11 radiator radiator NOUN asir-4814 129 12 depend depend VERB asir-4814 129 13 on on ADP asir-4814 129 14 its its PRON asir-4814 129 15 structure structure NOUN asir-4814 129 16 . . PUNCT asir-4814 130 1 the the DET asir-4814 130 2 radiator radiator NOUN asir-4814 130 3 structure structure NOUN asir-4814 130 4 determines determine VERB asir-4814 130 5 the the DET asir-4814 130 6 law law NOUN asir-4814 130 7 of of ADP asir-4814 130 8 current current ADJ asir-4814 130 9 distribution distribution NOUN asir-4814 130 10 along along ADP asir-4814 130 11 it it PRON asir-4814 130 12 . . PUNCT asir-4814 131 1 if if SCONJ asir-4814 131 2 the the DET asir-4814 131 3 radiator radiator NOUN asir-4814 131 4 arm arm NOUN asir-4814 131 5 is be AUX asir-4814 131 6 a a DET asir-4814 131 7 straight straight ADJ asir-4814 131 8 metallic metallic ADJ asir-4814 131 9 conductor conductor NOUN asir-4814 131 10 , , PUNCT asir-4814 131 11 its its PRON asir-4814 131 12 current current NOUN asir-4814 131 13 is be AUX asir-4814 131 14 distributed distribute VERB asir-4814 131 15 according accord VERB asir-4814 131 16 to to ADP asir-4814 131 17 the the DET asir-4814 131 18 sinusoidal sinusoidal ADJ asir-4814 131 19 law law NOUN asir-4814 131 20 𝐽(𝑧 𝐽(𝑧 PROPN asir-4814 131 21 ) ) PUNCT asir-4814 131 22 = = SYM asir-4814 131 23 𝐽(0 𝐽(0 NUM asir-4814 131 24 ) ) PUNCT asir-4814 131 25 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN asir-4814 131 26 π‘˜ π‘˜ X asir-4814 131 27 ( ( PUNCT asir-4814 131 28 𝐿 𝐿 PROPN asir-4814 131 29 βˆ’ βˆ’ PROPN asir-4814 131 30 |𝑧| |𝑧| PROPN asir-4814 131 31 ) ) PUNCT asir-4814 131 32 . . PUNCT asir-4814 132 1 in in ADP asir-4814 132 2 this this DET asir-4814 132 3 case case NOUN asir-4814 132 4 the the DET asir-4814 132 5 far far ADJ asir-4814 132 6 field field NOUN asir-4814 132 7 of of ADP asir-4814 132 8 the the DET asir-4814 132 9 radiator radiator NOUN asir-4814 132 10 is be AUX asir-4814 132 11 equal equal ADJ asir-4814 132 12 to to ADP asir-4814 132 13 πΈπœƒ πΈπœƒ PROPN asir-4814 132 14 = = PUNCT asir-4814 132 15 𝑗60𝐽(0 𝑗60𝐽(0 PROPN asir-4814 132 16 ) ) PUNCT asir-4814 133 1 π‘†π‘–π‘›πœƒ π‘†π‘–π‘›πœƒ PROPN asir-4814 133 2 βˆ™ βˆ™ PROPN asir-4814 133 3 𝑒π‘₯𝑝(βˆ’π‘—π‘˜π‘… 𝑒π‘₯𝑝(βˆ’π‘—π‘˜π‘… NUM asir-4814 133 4 ) ) PUNCT asir-4814 133 5 πœ€π‘Ÿπ‘… πœ€π‘Ÿπ‘… NOUN asir-4814 134 1 [ [ X asir-4814 134 2 π‘π‘œπ‘ (π‘˜πΏ π‘π‘œπ‘ (π‘˜πΏ ADJ asir-4814 134 3 π‘π‘œπ‘  π‘π‘œπ‘  NOUN asir-4814 134 4 πœƒ πœƒ NOUN asir-4814 134 5 ) ) PUNCT asir-4814 134 6 βˆ’ βˆ’ PROPN asir-4814 134 7 π‘π‘œπ‘  π‘π‘œπ‘  NOUN asir-4814 134 8 π‘˜ π‘˜ PROPN asir-4814 134 9 𝐿 𝐿 PROPN asir-4814 134 10 ] ] PROPN asir-4814 134 11 , , PUNCT asir-4814 134 12 where where SCONJ asir-4814 134 13 r r NOUN asir-4814 134 14 is be AUX asir-4814 134 15 the the DET asir-4814 134 16 distance distance NOUN asir-4814 134 17 to to ADP asir-4814 134 18 the the DET asir-4814 134 19 observation observation NOUN asir-4814 134 20 point point NOUN asir-4814 134 21 . . PUNCT asir-4814 135 1 if if SCONJ asir-4814 135 2 the the DET asir-4814 135 3 capacitive capacitive ADJ asir-4814 135 4 loads load NOUN asir-4814 135 5 realize realize VERB asir-4814 135 6 the the DET asir-4814 135 7 in in ADP asir-4814 135 8 - - PUNCT asir-4814 135 9 phase phase NOUN asir-4814 135 10 current current NOUN asir-4814 135 11 , , PUNCT asir-4814 135 12 distributed distribute VERB asir-4814 135 13 along along ADP asir-4814 135 14 the the DET asir-4814 135 15 radiator radiator NOUN asir-4814 135 16 in in ADP asir-4814 135 17 accordance accordance NOUN asir-4814 135 18 with with ADP asir-4814 135 19 a a DET asir-4814 135 20 linear linear ADJ asir-4814 135 21 law law NOUN asir-4814 135 22 𝐽(𝑧 𝐽(𝑧 NOUN asir-4814 135 23 ) ) PUNCT asir-4814 135 24 = = PUNCT asir-4814 135 25 𝐽(0)(1 𝐽(0)(1 NOUN asir-4814 136 1 βˆ’ βˆ’ PROPN asir-4814 136 2 |𝑧| |𝑧| PROPN asir-4814 136 3 𝐿 𝐿 PROPN asir-4814 136 4 ) ) PUNCT asir-4814 136 5 , , PUNCT asir-4814 136 6 then then ADV asir-4814 136 7 from from ADP asir-4814 136 8 figure figure NOUN asir-4814 136 9 1 1 NUM asir-4814 136 10 it it PRON asir-4814 136 11 is be AUX asir-4814 136 12 clear clear ADJ asir-4814 136 13 that that SCONJ asir-4814 136 14 the the DET asir-4814 136 15 maximum maximum ADJ asir-4814 136 16 radiation radiation NOUN asir-4814 136 17 of of ADP asir-4814 136 18 the the DET asir-4814 136 19 considered consider VERB asir-4814 136 20 antenna antenna NOUN asir-4814 136 21 is be AUX asir-4814 136 22 directed direct VERB asir-4814 136 23 to to ADP asir-4814 136 24 the the DET asir-4814 136 25 right right NOUN asir-4814 136 26 , , PUNCT asir-4814 136 27 that that ADV asir-4814 136 28 is is ADV asir-4814 136 29 , , PUNCT asir-4814 136 30 towards towards ADP asir-4814 136 31 the the DET asir-4814 136 32 radiator radiator NOUN asir-4814 136 33 3 3 NUM asir-4814 136 34 . . PUNCT asir-4814 137 1 since since SCONJ asir-4814 137 2 the the DET asir-4814 137 3 radiator radiator NOUN asir-4814 137 4 1 1 NUM asir-4814 137 5 is be AUX asir-4814 137 6 located locate VERB asir-4814 137 7 on on ADP asir-4814 137 8 the the DET asir-4814 137 9 left left NOUN asir-4814 137 10 from from ADP asir-4814 137 11 the the DET asir-4814 137 12 active active ADJ asir-4814 137 13 radiator radiator NOUN asir-4814 137 14 0 0 NUM asir-4814 137 15 at at ADP asir-4814 137 16 a a DET asir-4814 137 17 distance distance NOUN asir-4814 137 18 𝑏1 𝑏1 NOUN asir-4814 137 19 , , PUNCT asir-4814 137 20 its its PRON asir-4814 137 21 field field NOUN asir-4814 137 22 lags lag VERB asir-4814 137 23 behind behind ADP asir-4814 137 24 the the DET asir-4814 137 25 field field NOUN asir-4814 137 26 of of ADP asir-4814 137 27 the the DET asir-4814 137 28 active active ADJ asir-4814 137 29 radiator radiator NOUN asir-4814 137 30 , , PUNCT asir-4814 137 31 firstly firstly ADV asir-4814 137 32 , , PUNCT asir-4814 137 33 per per ADP asir-4814 137 34 phase phase NOUN asir-4814 137 35 corresponding correspond VERB asir-4814 137 36 to to ADP asir-4814 137 37 a a DET asir-4814 137 38 time time NOUN asir-4814 137 39 of of ADP asir-4814 137 40 signal signal ADJ asir-4814 137 41 propagation propagation NOUN asir-4814 137 42 from from ADP asir-4814 137 43 radiator radiator NOUN asir-4814 137 44 0 0 NUM asir-4814 137 45 to to PART asir-4814 137 46 radiator radiator VERB asir-4814 137 47 1 1 NUM asir-4814 137 48 and and CCONJ asir-4814 137 49 , , PUNCT asir-4814 137 50 secondly secondly ADV asir-4814 137 51 , , PUNCT asir-4814 137 52 per per ADP asir-4814 137 53 phase phase NOUN asir-4814 137 54 corresponding correspond VERB asir-4814 137 55 to to ADP asir-4814 137 56 the the DET asir-4814 137 57 propagation propagation NOUN asir-4814 137 58 time time NOUN asir-4814 137 59 of of ADP asir-4814 137 60 the the DET asir-4814 137 61 signal signal NOUN asir-4814 137 62 in in ADP asir-4814 137 63 the the DET asir-4814 137 64 opposite opposite ADJ asir-4814 137 65 direction direction NOUN asir-4814 137 66 from from ADP asir-4814 137 67 the the DET asir-4814 137 68 radiator radiator NOUN asir-4814 137 69 1 1 NUM asir-4814 137 70 to to ADP asir-4814 137 71 the the DET asir-4814 137 72 radiator radiator NOUN asir-4814 137 73 0 0 PUNCT asir-4814 138 1 ( ( PUNCT asir-4814 138 2 the the DET asir-4814 138 3 signal signal NOUN asir-4814 138 4 of of ADP asir-4814 138 5 radiator radiator NOUN asir-4814 138 6 1 1 NUM asir-4814 138 7 must must AUX asir-4814 138 8 come come VERB asir-4814 138 9 to to ADP asir-4814 138 10 the the DET asir-4814 138 11 radiator radiator NOUN asir-4814 138 12 0 0 PUNCT asir-4814 138 13 an an DET asir-4814 138 14 angle angle NOUN asir-4814 138 15 πœƒ πœƒ NOUN asir-4814 138 16 , , PUNCT asir-4814 138 17 i.e. i.e. X asir-4814 138 18 , , PUNCT asir-4814 138 19 the the DET asir-4814 138 20 path path NOUN asir-4814 138 21 length length NOUN asir-4814 138 22 between between ADP asir-4814 138 23 the the DET asir-4814 138 24 wires wire NOUN asir-4814 138 25 is be AUX asir-4814 138 26 𝑏1/ 𝑏1/ NOUN asir-4814 138 27 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ asir-4814 138 28 πœƒ πœƒ NOUN asir-4814 138 29 ) ) PUNCT asir-4814 138 30 . . PUNCT asir-4814 139 1 the the DET asir-4814 139 2 total total ADJ asir-4814 139 3 phase phase NOUN asir-4814 139 4 difference difference NOUN asir-4814 139 5 is be AUX asir-4814 139 6 equal equal ADJ asir-4814 139 7 to to ADP asir-4814 139 8 πœ“1 πœ“1 NOUN asir-4814 139 9 = = SYM asir-4814 139 10 βˆ’π‘˜π‘1 βˆ’π‘˜π‘1 NOUN asir-4814 139 11 ( ( PUNCT asir-4814 139 12 1 1 NUM asir-4814 139 13 + + NUM asir-4814 139 14 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ asir-4814 139 15 πœƒ πœƒ NOUN asir-4814 139 16 ) ) PUNCT asir-4814 139 17 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN asir-4814 139 18 πœƒβ„ πœƒβ„ NOUN asir-4814 139 19 . . PUNCT asir-4814 140 1 similarly similarly ADV asir-4814 140 2 , , PUNCT asir-4814 140 3 in in ADP asir-4814 140 4 the the DET asir-4814 140 5 case case NOUN asir-4814 140 6 of of ADP asir-4814 140 7 radiators radiator NOUN asir-4814 140 8 2 2 NUM asir-4814 140 9 and and CCONJ asir-4814 140 10 3 3 NUM asir-4814 140 11 , , PUNCT asir-4814 140 12 this this DET asir-4814 140 13 phase phase NOUN asir-4814 140 14 difference difference NOUN asir-4814 140 15 is be AUX asir-4814 140 16 equal equal ADJ asir-4814 140 17 to to ADP asir-4814 140 18 πœ“2 πœ“2 NOUN asir-4814 140 19 = = PUNCT asir-4814 141 1 π‘˜π‘2 π‘˜π‘2 PROPN asir-4814 141 2 ( ( PUNCT asir-4814 141 3 𝑠𝑖𝑛 𝑠𝑖𝑛 VERB asir-4814 141 4 πœƒ πœƒ PRON asir-4814 141 5 βˆ’ βˆ’ NOUN asir-4814 141 6 1 1 NUM asir-4814 141 7 ) ) PUNCT asir-4814 141 8 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN asir-4814 141 9 πœƒβ„ πœƒβ„ NOUN asir-4814 141 10 and and CCONJ asir-4814 141 11 to to PART asir-4814 141 12 πœ“3 πœ“3 VERB asir-4814 141 13 = = SYM asir-4814 141 14 βˆ’π‘˜π‘3 βˆ’π‘˜π‘3 PROPN asir-4814 141 15 ( ( PUNCT asir-4814 141 16 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN asir-4814 141 17 πœƒ πœƒ PRON asir-4814 141 18 βˆ’ βˆ’ NOUN asir-4814 141 19 1 1 NUM asir-4814 141 20 ) ) PUNCT asir-4814 141 21 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN asir-4814 141 22 πœƒβ„ πœƒβ„ NOUN asir-4814 141 23 , , PUNCT asir-4814 141 24 respectively respectively ADV asir-4814 141 25 . . PUNCT asir-4814 142 1 the the DET asir-4814 142 2 described describe VERB asir-4814 142 3 procedure procedure NOUN asir-4814 142 4 permits permit VERB asir-4814 142 5 to to PART asir-4814 142 6 determine determine VERB asir-4814 142 7 the the DET asir-4814 142 8 total total ADJ asir-4814 142 9 field field NOUN asir-4814 142 10 of of ADP asir-4814 142 11 the the DET asir-4814 142 12 director director NOUN asir-4814 142 13 antenna antenna NOUN asir-4814 142 14 . . PUNCT asir-4814 143 1 in in ADP asir-4814 143 2 accordance accordance NOUN asir-4814 143 3 with with ADP asir-4814 143 4 expression expression NOUN asir-4814 143 5 for for ADP asir-4814 143 6 𝑒𝑖 𝑒𝑖 ADP asir-4814 143 7 emfs emfs NOUN asir-4814 143 8 of of ADP asir-4814 143 9 the the DET asir-4814 143 10 different different ADJ asir-4814 143 11 radiators radiator NOUN asir-4814 143 12 are be AUX asir-4814 143 13 equal equal ADJ asir-4814 143 14 to to ADP asir-4814 143 15 𝑒1 𝑒1 NOUN asir-4814 143 16 = = SYM asir-4814 143 17 0.388𝑒 0.388𝑒 NUM asir-4814 143 18 , , PUNCT asir-4814 143 19 𝑒2 𝑒2 PROPN asir-4814 143 20 = = SYM asir-4814 143 21 0.335𝑒 0.335𝑒 PROPN asir-4814 143 22 , , PUNCT asir-4814 143 23 𝑒3 𝑒3 PROPN asir-4814 144 1 = = PUNCT asir-4814 145 1 0.277𝑒. 0.277𝑒. PROPN asir-4814 145 2 the the DET asir-4814 145 3 total total ADJ asir-4814 145 4 field field NOUN asir-4814 145 5 of of ADP asir-4814 145 6 this this DET asir-4814 145 7 antenna antenna NOUN asir-4814 145 8 with with ADP asir-4814 145 9 radiators radiator NOUN asir-4814 145 10 in in ADP asir-4814 145 11 the the DET asir-4814 145 12 form form NOUN asir-4814 145 13 of of ADP asir-4814 145 14 straight straight ADJ asir-4814 145 15 metal metal NOUN asir-4814 145 16 wires wire NOUN asir-4814 145 17 is be AUX asir-4814 145 18 πΈπœƒ πΈπœƒ PROPN asir-4814 145 19 = = PUNCT asir-4814 145 20 𝑗60𝐽(0 𝑗60𝐽(0 PROPN asir-4814 145 21 ) ) PUNCT asir-4814 145 22 sin sin NOUN asir-4814 145 23 πœƒ πœƒ NOUN asir-4814 145 24 βˆ‘π‘’π‘– βˆ‘π‘’π‘– NOUN asir-4814 145 25 βˆ™ βˆ™ PROPN asir-4814 145 26 3 3 NUM asir-4814 145 27 𝑖=1 𝑖=1 PUNCT asir-4814 145 28 𝑒π‘₯𝑝(βˆ’π‘—π‘˜π‘… 𝑒π‘₯𝑝(βˆ’π‘—π‘˜π‘… PROPN asir-4814 145 29 ) ) PUNCT asir-4814 145 30 πœ€π‘Ÿπ‘… πœ€π‘Ÿπ‘… NOUN asir-4814 145 31 βˆ™ βˆ™ PROPN asir-4814 145 32 { { PUNCT asir-4814 145 33 ( ( PUNCT asir-4814 145 34 1 1 NUM asir-4814 145 35 4𝑍𝑖𝑑 4𝑍𝑖𝑑 NUM asir-4814 145 36 + + CCONJ asir-4814 145 37 1 1 NUM asir-4814 145 38 2𝑍𝑖𝑙 2𝑍𝑖𝑙 NUM asir-4814 145 39 ) ) PUNCT asir-4814 146 1 [ [ X asir-4814 146 2 cos(π‘˜πΏ0 cos(π‘˜πΏ0 X asir-4814 146 3 cos cos PROPN asir-4814 146 4 πœƒ πœƒ PROPN asir-4814 146 5 ) ) PUNCT asir-4814 146 6 βˆ’ βˆ’ PROPN asir-4814 146 7 cos cos PROPN asir-4814 146 8 π‘˜ π‘˜ PRON asir-4814 146 9 𝐿0 𝐿0 VERB asir-4814 146 10 ] ] X asir-4814 147 1 + + CCONJ asir-4814 147 2 ( ( PUNCT asir-4814 147 3 1 1 NUM asir-4814 147 4 4𝑍𝑖𝑑 4𝑍𝑖𝑑 NUM asir-4814 147 5 βˆ’ βˆ’ NOUN asir-4814 147 6 1 1 NUM asir-4814 147 7 2𝑍𝑖𝑙 2𝑍𝑖𝑙 NUM asir-4814 147 8 ) ) PUNCT asir-4814 147 9 𝑒π‘₯𝑝(π‘—πœ“π‘–)[cos(π‘˜πΏπ‘– 𝑒π‘₯𝑝(π‘—πœ“π‘–)[cos(π‘˜πΏπ‘– PROPN asir-4814 147 10 cos cos PROPN asir-4814 147 11 πœƒ πœƒ PROPN asir-4814 147 12 ) ) PUNCT asir-4814 147 13 βˆ’ βˆ’ PROPN asir-4814 148 1 cos cos INTJ asir-4814 148 2 π‘˜πΏπ‘– π‘˜πΏπ‘– X asir-4814 148 3 ] ] X asir-4814 148 4 } } PUNCT asir-4814 148 5 . . PUNCT asir-4814 149 1 the the DET asir-4814 149 2 inclusion inclusion NOUN asir-4814 149 3 of of ADP asir-4814 149 4 concentrated concentrated ADJ asir-4814 149 5 capacitive capacitive ADJ asir-4814 149 6 loads load NOUN asir-4814 149 7 along along ADP asir-4814 149 8 the the DET asir-4814 149 9 linear linear NOUN asir-4814 149 10 radiators radiator NOUN asir-4814 149 11 , , PUNCT asir-4814 149 12 the the DET asir-4814 149 13 magnitudes magnitude NOUN asir-4814 149 14 of of ADP asir-4814 149 15 which which PRON asir-4814 149 16 vary vary VERB asir-4814 149 17 in in ADP asir-4814 149 18 accordance accordance NOUN asir-4814 149 19 with with ADP asir-4814 149 20 the the DET asir-4814 149 21 linear linear PROPN asir-4814 149 22 law law NOUN asir-4814 149 23 , , PUNCT asir-4814 149 24 permits permit VERB asir-4814 149 25 to to PART asir-4814 149 26 create create VERB asir-4814 149 27 radiators radiator NOUN asir-4814 149 28 with with ADP asir-4814 149 29 in in ADP asir-4814 149 30 - - PUNCT asir-4814 149 31 phase phase NOUN asir-4814 149 32 current current NOUN asir-4814 149 33 . . PUNCT asir-4814 150 1 while while SCONJ asir-4814 150 2 retaining retain VERB asir-4814 150 3 the the DET asir-4814 150 4 dimensions dimension NOUN asir-4814 150 5 of of ADP asir-4814 150 6 the the DET asir-4814 150 7 radiators radiator NOUN asir-4814 150 8 and and CCONJ asir-4814 150 9 the the DET asir-4814 150 10 distances distance NOUN asir-4814 150 11 between between ADP asir-4814 150 12 them they PRON asir-4814 150 13 , , PUNCT asir-4814 150 14 we we PRON asir-4814 150 15 get get VERB asir-4814 150 16 the the DET asir-4814 150 17 director director NOUN asir-4814 150 18 antenna antenna NOUN asir-4814 150 19 shown show VERB asir-4814 150 20 in in ADP asir-4814 150 21 figure figure NOUN asir-4814 150 22 3 3 NUM asir-4814 150 23 . . PUNCT asir-4814 151 1 the the DET asir-4814 151 2 total total ADJ asir-4814 151 3 field field NOUN asir-4814 151 4 of of ADP asir-4814 151 5 such such DET asir-4814 151 6 an an DET asir-4814 151 7 antenna antenna NOUN asir-4814 151 8 is be AUX asir-4814 151 9 calculated calculate VERB asir-4814 151 10 by by ADP asir-4814 151 11 the the DET asir-4814 151 12 formula formula NOUN asir-4814 151 13 πΈπœƒ πΈπœƒ PROPN asir-4814 151 14 = = PUNCT asir-4814 151 15 𝑗60𝐽(0 𝑗60𝐽(0 PROPN asir-4814 151 16 ) ) PUNCT asir-4814 151 17 π‘˜πΏsin π‘˜πΏsin PROPN asir-4814 151 18 πœƒπ‘π‘œπ‘ 2πœƒ πœƒπ‘π‘œπ‘ 2πœƒ PROPN asir-4814 151 19 βˆ‘π‘’π‘– βˆ‘π‘’π‘– X asir-4814 152 1 βˆ™ βˆ™ PROPN asir-4814 152 2 3 3 NUM asir-4814 152 3 𝑖=1 𝑖=1 PUNCT asir-4814 152 4 𝑒π‘₯𝑝(βˆ’π‘—π‘˜π‘… 𝑒π‘₯𝑝(βˆ’π‘—π‘˜π‘… PROPN asir-4814 152 5 ) ) PUNCT asir-4814 152 6 πœ€π‘Ÿπ‘… πœ€π‘Ÿπ‘… NOUN asir-4814 152 7 βˆ™ βˆ™ PROPN asir-4814 152 8 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 152 9 applied apply VERB asir-4814 152 10 science science NOUN asir-4814 152 11 and and CCONJ asir-4814 152 12 innovative innovative ADJ asir-4814 152 13 research research NOUN asir-4814 152 14 vol vol NOUN asir-4814 152 15 . . PROPN asir-4814 153 1 6 6 NUM asir-4814 153 2 , , PUNCT asir-4814 153 3 no no INTJ asir-4814 153 4 . . NOUN asir-4814 153 5 2 2 NUM asir-4814 153 6 , , PUNCT asir-4814 153 7 2022 2022 NUM asir-4814 153 8 78 78 NUM asir-4814 153 9 published publish VERB asir-4814 153 10 by by ADP asir-4814 153 11 scholink scholink PROPN asir-4814 153 12 inc inc PROPN asir-4814 153 13 . . PROPN asir-4814 154 1 { { PUNCT asir-4814 154 2 ( ( PUNCT asir-4814 154 3 1 1 NUM asir-4814 154 4 4𝑍𝑖𝑑 4𝑍𝑖𝑑 NUM asir-4814 154 5 + + CCONJ asir-4814 154 6 1 1 NUM asir-4814 154 7 2𝑍𝑖𝑙 2𝑍𝑖𝑙 NUM asir-4814 154 8 ) ) PUNCT asir-4814 155 1 [ [ X asir-4814 155 2 1 1 NUM asir-4814 155 3 βˆ’ βˆ’ NOUN asir-4814 155 4 cos(π‘˜πΏ0 cos(π‘˜πΏ0 PROPN asir-4814 155 5 cos cos PROPN asir-4814 155 6 πœƒ πœƒ PROPN asir-4814 155 7 ) ) PUNCT asir-4814 155 8 ] ] PUNCT asir-4814 156 1 + + CCONJ asir-4814 156 2 ( ( PUNCT asir-4814 156 3 1 1 NUM asir-4814 156 4 4𝑍𝑖𝑑 4𝑍𝑖𝑑 NUM asir-4814 156 5 βˆ’ βˆ’ NOUN asir-4814 156 6 1 1 NUM asir-4814 156 7 2𝑍𝑖𝑙 2𝑍𝑖𝑙 NUM asir-4814 156 8 ) ) PUNCT asir-4814 156 9 𝑒π‘₯𝑝(π‘—πœ“π‘–)[1 𝑒π‘₯𝑝(π‘—πœ“π‘–)[1 PROPN asir-4814 157 1 βˆ’ βˆ’ PROPN asir-4814 157 2 cos(π‘˜πΏπ‘– cos(π‘˜πΏπ‘– INTJ asir-4814 157 3 cos cos PROPN asir-4814 157 4 πœƒ πœƒ PROPN asir-4814 157 5 ) ) PUNCT asir-4814 157 6 ] ] PUNCT asir-4814 157 7 } } PUNCT asir-4814 157 8 . . PUNCT asir-4814 158 1 figure figure VERB asir-4814 158 2 3 3 NUM asir-4814 158 3 . . PUNCT asir-4814 158 4 directional directional ADJ asir-4814 158 5 antenna antenna NOUN asir-4814 158 6 with with ADP asir-4814 158 7 in in ADP asir-4814 158 8 - - PUNCT asir-4814 158 9 phase phase NOUN asir-4814 158 10 straight straight ADJ asir-4814 158 11 radiators radiator NOUN asir-4814 158 12 the the DET asir-4814 158 13 results result NOUN asir-4814 158 14 of of ADP asir-4814 158 15 calculating calculate VERB asir-4814 158 16 the the DET asir-4814 158 17 directivity directivity NOUN asir-4814 158 18 and and CCONJ asir-4814 158 19 the the DET asir-4814 158 20 pattern pattern NOUN asir-4814 158 21 factor factor NOUN asir-4814 158 22 of of ADP asir-4814 158 23 a a DET asir-4814 158 24 director director NOUN asir-4814 158 25 antenna antenna NOUN asir-4814 158 26 with with ADP asir-4814 158 27 straight straight ADJ asir-4814 158 28 metal metal NOUN asir-4814 158 29 wires wire NOUN asir-4814 158 30 are be AUX asir-4814 158 31 given give VERB asir-4814 158 32 in in ADP asir-4814 158 33 figure figure NOUN asir-4814 158 34 4 4 NUM asir-4814 158 35 ( ( PUNCT asir-4814 158 36 curves curve NOUN asir-4814 158 37 1 1 NUM asir-4814 158 38 ) ) PUNCT asir-4814 158 39 . . PUNCT asir-4814 159 1 since since SCONJ asir-4814 159 2 here here ADV asir-4814 159 3 an an DET asir-4814 159 4 approximate approximate ADJ asir-4814 159 5 calculation calculation NOUN asir-4814 159 6 procedure procedure NOUN asir-4814 159 7 was be AUX asir-4814 159 8 used use VERB asir-4814 159 9 , , PUNCT asir-4814 159 10 these these DET asir-4814 159 11 results result NOUN asir-4814 159 12 are be AUX asir-4814 159 13 not not PART asir-4814 159 14 identical identical ADJ asir-4814 159 15 to to ADP asir-4814 159 16 the the DET asir-4814 159 17 results result NOUN asir-4814 159 18 presented present VERB asir-4814 159 19 in in ADP asir-4814 159 20 ( ( PUNCT asir-4814 159 21 chaplin chaplin PROPN asir-4814 159 22 , , PUNCT asir-4814 159 23 buchazky buchazky PROPN asir-4814 159 24 , , PUNCT asir-4814 159 25 & & CCONJ asir-4814 159 26 mihailov mihailov PROPN asir-4814 159 27 , , PUNCT asir-4814 159 28 1983 1983 NUM asir-4814 159 29 ) ) PUNCT asir-4814 159 30 , , PUNCT asir-4814 159 31 but but CCONJ asir-4814 159 32 are be AUX asir-4814 159 33 similar similar ADJ asir-4814 159 34 to to ADP asir-4814 159 35 them they PRON asir-4814 159 36 . . PUNCT asir-4814 160 1 practically practically ADV asir-4814 160 2 the the DET asir-4814 160 3 antenna antenna NOUN asir-4814 160 4 operates operate VERB asir-4814 160 5 at at ADP asir-4814 160 6 the the DET asir-4814 160 7 same same ADJ asir-4814 160 8 frequency frequency NOUN asir-4814 160 9 . . PUNCT asir-4814 161 1 the the DET asir-4814 161 2 results result NOUN asir-4814 161 3 of of ADP asir-4814 161 4 calculating calculate VERB asir-4814 161 5 the the DET asir-4814 161 6 same same ADJ asir-4814 161 7 characteristics characteristic NOUN asir-4814 161 8 for for ADP asir-4814 161 9 the the DET asir-4814 161 10 antenna antenna NOUN asir-4814 161 11 with with ADP asir-4814 161 12 in in ADP asir-4814 161 13 - - PUNCT asir-4814 161 14 phase phase NOUN asir-4814 161 15 currents current NOUN asir-4814 161 16 are be AUX asir-4814 161 17 also also ADV asir-4814 161 18 given give VERB asir-4814 161 19 in in ADP asir-4814 161 20 figure figure NOUN asir-4814 161 21 4 4 NUM asir-4814 161 22 ( ( PUNCT asir-4814 161 23 curves curve NOUN asir-4814 161 24 2 2 NUM asir-4814 161 25 ) ) PUNCT asir-4814 161 26 . . PUNCT asir-4814 162 1 they they PRON asir-4814 162 2 speak speak VERB asir-4814 162 3 for for ADP asir-4814 162 4 themselves themselves PRON asir-4814 162 5 . . PUNCT asir-4814 163 1 this this DET asir-4814 163 2 antenna antenna NOUN asir-4814 163 3 operates operate VERB asir-4814 163 4 over over ADP asir-4814 163 5 a a DET asir-4814 163 6 wide wide ADJ asir-4814 163 7 frequency frequency NOUN asir-4814 163 8 range range NOUN asir-4814 163 9 and and CCONJ asir-4814 163 10 its its PRON asir-4814 163 11 directivity directivity NOUN asir-4814 163 12 steadily steadily ADV asir-4814 163 13 and and CCONJ asir-4814 163 14 smoothly smoothly ADV asir-4814 163 15 increases increase VERB asir-4814 163 16 with with ADP asir-4814 163 17 increasing increase VERB asir-4814 163 18 frequency frequency NOUN asir-4814 163 19 , , PUNCT asir-4814 163 20 that that ADV asir-4814 163 21 is is ADV asir-4814 163 22 , , PUNCT asir-4814 163 23 the the DET asir-4814 163 24 quality quality NOUN asir-4814 163 25 factor factor NOUN asir-4814 163 26 of of ADP asir-4814 163 27 this this DET asir-4814 163 28 antenna antenna NOUN asir-4814 163 29 is be AUX asir-4814 163 30 small small ADJ asir-4814 163 31 . . PUNCT asir-4814 164 1 of of ADP asir-4814 164 2 course course ADV asir-4814 164 3 , , PUNCT asir-4814 164 4 we we PRON asir-4814 164 5 must must AUX asir-4814 164 6 bear bear VERB asir-4814 164 7 in in ADP asir-4814 164 8 mind mind NOUN asir-4814 164 9 that that SCONJ asir-4814 164 10 these these DET asir-4814 164 11 characteristics characteristic NOUN asir-4814 164 12 are be AUX asir-4814 164 13 valid valid ADJ asir-4814 164 14 only only ADV asir-4814 164 15 if if SCONJ asir-4814 164 16 the the DET asir-4814 164 17 current current NOUN asir-4814 164 18 is be AUX asir-4814 164 19 in in ADP asir-4814 164 20 - - PUNCT asir-4814 164 21 phase phase NOUN asir-4814 164 22 . . PUNCT asir-4814 165 1 but but CCONJ asir-4814 165 2 the the DET asir-4814 165 3 frequency frequency NOUN asir-4814 165 4 ratio ratio NOUN asir-4814 165 5 of of ADP asir-4814 165 6 antennas antenna NOUN asir-4814 165 7 with with ADP asir-4814 165 8 capacitive capacitive ADJ asir-4814 165 9 loads load NOUN asir-4814 165 10 with with ADP asir-4814 165 11 a a DET asir-4814 165 12 high high ADJ asir-4814 165 13 level level NOUN asir-4814 165 14 of of ADP asir-4814 165 15 matching matching NOUN asir-4814 165 16 is be AUX asir-4814 165 17 a a DET asir-4814 165 18 value value NOUN asir-4814 165 19 of of ADP asir-4814 165 20 the the DET asir-4814 165 21 order order NOUN asir-4814 165 22 10 10 NUM asir-4814 165 23 . . PUNCT asir-4814 166 1 figure figure VERB asir-4814 166 2 4 4 NUM asir-4814 166 3 . . PUNCT asir-4814 166 4 directional directional ADJ asir-4814 166 5 characteristics characteristic NOUN asir-4814 166 6 of of ADP asir-4814 166 7 director director NOUN asir-4814 166 8 antennas antenna NOUN asir-4814 166 9 with with ADP asir-4814 166 10 sinusoidal sinusoidal NOUN asir-4814 166 11 ( ( PUNCT asir-4814 166 12 1 1 NUM asir-4814 166 13 ) ) PUNCT asir-4814 166 14 and and CCONJ asir-4814 166 15 in in ADP asir-4814 166 16 - - PUNCT asir-4814 166 17 phase phase NOUN asir-4814 166 18 ( ( PUNCT asir-4814 166 19 2 2 NUM asir-4814 166 20 ) ) PUNCT asir-4814 166 21 currents current NOUN asir-4814 166 22 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 166 23 applied apply VERB asir-4814 166 24 science science NOUN asir-4814 166 25 and and CCONJ asir-4814 166 26 innovative innovative ADJ asir-4814 166 27 research research NOUN asir-4814 166 28 vol vol NOUN asir-4814 166 29 . . PROPN asir-4814 167 1 6 6 NUM asir-4814 167 2 , , PUNCT asir-4814 167 3 no no INTJ asir-4814 167 4 . . NOUN asir-4814 167 5 2 2 NUM asir-4814 167 6 , , PUNCT asir-4814 167 7 2022 2022 NUM asir-4814 167 8 79 79 NUM asir-4814 167 9 published publish VERB asir-4814 167 10 by by ADP asir-4814 167 11 scholink scholink PROPN asir-4814 167 12 inc inc PROPN asir-4814 167 13 . . PROPN asir-4814 167 14 as as SCONJ asir-4814 167 15 has have AUX asir-4814 167 16 already already ADV asir-4814 167 17 been be AUX asir-4814 167 18 said say VERB asir-4814 167 19 , , PUNCT asir-4814 167 20 the the DET asir-4814 167 21 method method NOUN asir-4814 167 22 of of ADP asir-4814 167 23 electrostatic electrostatic ADJ asir-4814 167 24 analogy analogy NOUN asir-4814 167 25 is be AUX asir-4814 167 26 based base VERB asir-4814 167 27 on on ADP asir-4814 167 28 the the DET asir-4814 167 29 resemblance resemblance NOUN asir-4814 167 30 of of ADP asir-4814 167 31 a a DET asir-4814 167 32 structure structure NOUN asir-4814 167 33 with with ADP asir-4814 167 34 high high ADJ asir-4814 167 35 - - PUNCT asir-4814 167 36 frequency frequency NOUN asir-4814 167 37 currents current NOUN asir-4814 167 38 and and CCONJ asir-4814 167 39 a a DET asir-4814 167 40 structure structure NOUN asir-4814 167 41 with with ADP asir-4814 167 42 constant constant ADJ asir-4814 167 43 charges charge NOUN asir-4814 167 44 . . PUNCT asir-4814 168 1 comparison comparison NOUN asir-4814 168 2 of of ADP asir-4814 168 3 electromagnetic electromagnetic ADJ asir-4814 168 4 fields field NOUN asir-4814 168 5 created create VERB asir-4814 168 6 by by ADP asir-4814 168 7 high high ADJ asir-4814 168 8 - - PUNCT asir-4814 168 9 frequency frequency NOUN asir-4814 168 10 alternating alternate VERB asir-4814 168 11 currents current NOUN asir-4814 168 12 of of ADP asir-4814 168 13 linear linear ADJ asir-4814 168 14 radiators radiator NOUN asir-4814 168 15 with with ADP asir-4814 168 16 electrostatic electrostatic ADJ asir-4814 168 17 fields field NOUN asir-4814 168 18 of of ADP asir-4814 168 19 charges charge NOUN asir-4814 168 20 placed place VERB asir-4814 168 21 on on ADP asir-4814 168 22 linear linear PROPN asir-4814 168 23 conductors conductor NOUN asir-4814 168 24 of of ADP asir-4814 168 25 electrically electrically ADV asir-4814 168 26 neutral neutral ADJ asir-4814 168 27 system system NOUN asir-4814 168 28 shows show VERB asir-4814 168 29 similarity similarity NOUN asir-4814 168 30 of of ADP asir-4814 168 31 the the DET asir-4814 168 32 mathematical mathematical ADJ asir-4814 168 33 structures structure NOUN asir-4814 168 34 of of ADP asir-4814 168 35 both both DET asir-4814 168 36 fields field NOUN asir-4814 168 37 . . PUNCT asir-4814 169 1 this this DET asir-4814 169 2 method method NOUN asir-4814 169 3 allows allow VERB asir-4814 169 4 us we PRON asir-4814 169 5 to to PART asir-4814 169 6 propose propose VERB asir-4814 169 7 a a DET asir-4814 169 8 simple simple ADJ asir-4814 169 9 and and CCONJ asir-4814 169 10 effective effective ADJ asir-4814 169 11 procedure procedure NOUN asir-4814 169 12 for for ADP asir-4814 169 13 calculating calculate VERB asir-4814 169 14 the the DET asir-4814 169 15 directional directional ADJ asir-4814 169 16 characteristics characteristic NOUN asir-4814 169 17 of of ADP asir-4814 169 18 the the DET asir-4814 169 19 director director NOUN asir-4814 169 20 antennas antenna NOUN asir-4814 169 21 consisting consist VERB asir-4814 169 22 from from ADP asir-4814 169 23 linear linear ADJ asir-4814 169 24 radiators radiator NOUN asir-4814 169 25 . . PUNCT asir-4814 170 1 the the DET asir-4814 170 2 procedure procedure NOUN asir-4814 170 3 uses use VERB asir-4814 170 4 knowledge knowledge NOUN asir-4814 170 5 about about ADP asir-4814 170 6 the the DET asir-4814 170 7 basic basic ADJ asir-4814 170 8 antenna antenna NOUN asir-4814 170 9 dimensions dimension NOUN asir-4814 170 10 and and CCONJ asir-4814 170 11 current current ADJ asir-4814 170 12 distributions distribution NOUN asir-4814 170 13 along along ADP asir-4814 170 14 the the DET asir-4814 170 15 radiators radiator NOUN asir-4814 170 16 . . PUNCT asir-4814 171 1 the the DET asir-4814 171 2 detailed detailed ADJ asir-4814 171 3 information information NOUN asir-4814 171 4 on on ADP asir-4814 171 5 the the DET asir-4814 171 6 types type NOUN asir-4814 171 7 and and CCONJ asir-4814 171 8 magnitudes magnitude NOUN asir-4814 171 9 of of ADP asir-4814 171 10 concentrated concentrated ADJ asir-4814 171 11 loads load NOUN asir-4814 171 12 does do AUX asir-4814 171 13 not not PART asir-4814 171 14 require require VERB asir-4814 171 15 . . PUNCT asir-4814 172 1 as as SCONJ asir-4814 172 2 calculations calculation NOUN asir-4814 172 3 were be AUX asir-4814 172 4 shown show VERB asir-4814 172 5 , , PUNCT asir-4814 172 6 the the DET asir-4814 172 7 director director NOUN asir-4814 172 8 antennas antenna NOUN asir-4814 172 9 consisting consist VERB asir-4814 172 10 from from ADP asir-4814 172 11 the the DET asir-4814 172 12 linear linear ADJ asir-4814 172 13 radiators radiator NOUN asir-4814 172 14 with with ADP asir-4814 172 15 in in ADP asir-4814 172 16 - - PUNCT asir-4814 172 17 phase phase NOUN asir-4814 172 18 currents current NOUN asir-4814 172 19 provide provide VERB asir-4814 172 20 a a DET asir-4814 172 21 high high ADJ asir-4814 172 22 directivity directivity NOUN asir-4814 172 23 and and CCONJ asir-4814 172 24 smooth smooth ADJ asir-4814 172 25 variation variation NOUN asir-4814 172 26 of of ADP asir-4814 172 27 characteristics characteristic NOUN asir-4814 172 28 in in ADP asir-4814 172 29 a a DET asir-4814 172 30 wide wide ADJ asir-4814 172 31 frequency frequency NOUN asir-4814 172 32 range range NOUN asir-4814 172 33 . . PUNCT asir-4814 173 1 the the DET asir-4814 173 2 results result NOUN asir-4814 173 3 obtained obtain VERB asir-4814 173 4 with with ADP asir-4814 173 5 help help NOUN asir-4814 173 6 of of ADP asir-4814 173 7 this this DET asir-4814 173 8 method method NOUN asir-4814 173 9 can can AUX asir-4814 173 10 be be AUX asir-4814 173 11 used use VERB asir-4814 173 12 to to PART asir-4814 173 13 solve solve VERB asir-4814 173 14 the the DET asir-4814 173 15 problem problem NOUN asir-4814 173 16 of of ADP asir-4814 173 17 optimizing optimize VERB asir-4814 173 18 various various ADJ asir-4814 173 19 director director NOUN asir-4814 173 20 antennas antenna NOUN asir-4814 173 21 by by ADP asir-4814 173 22 mathematical mathematical ADJ asir-4814 173 23 programming programming NOUN asir-4814 173 24 methods method NOUN asir-4814 173 25 . . PUNCT asir-4814 174 1 the the DET asir-4814 174 2 electrostatic electrostatic ADJ asir-4814 174 3 analogy analogy NOUN asir-4814 174 4 method method NOUN asir-4814 174 5 was be AUX asir-4814 174 6 proposed propose VERB asir-4814 174 7 in in ADP asir-4814 174 8 ( ( PUNCT asir-4814 174 9 levin levin PROPN asir-4814 174 10 , , PUNCT asir-4814 174 11 2017 2017 NUM asir-4814 174 12 ) ) PUNCT asir-4814 174 13 . . PUNCT asir-4814 175 1 but but CCONJ asir-4814 175 2 the the DET asir-4814 175 3 need need NOUN asir-4814 175 4 for for ADP asir-4814 175 5 such such DET asir-4814 175 6 a a DET asir-4814 175 7 method method NOUN asir-4814 175 8 was be AUX asir-4814 175 9 understood understand VERB asir-4814 175 10 long long ADV asir-4814 175 11 ago ago ADV asir-4814 175 12 . . PUNCT asir-4814 176 1 a.f a.f PROPN asir-4814 176 2 . . PROPN asir-4814 176 3 chaplin chaplin PROPN asir-4814 176 4 with with ADP asir-4814 176 5 his his PRON asir-4814 176 6 pupils pupil NOUN asir-4814 176 7 stubbornly stubbornly ADV asir-4814 176 8 paved pave VERB asir-4814 176 9 a a DET asir-4814 176 10 way way NOUN asir-4814 176 11 to to ADP asir-4814 176 12 its its PRON asir-4814 176 13 creation creation NOUN asir-4814 176 14 . . PUNCT asir-4814 177 1 a.f a.f PROPN asir-4814 177 2 . . PROPN asir-4814 177 3 yakovlev yakovlev PROPN asir-4814 177 4 persistently persistently ADV asir-4814 177 5 tried try VERB asir-4814 177 6 to to PART asir-4814 177 7 improve improve VERB asir-4814 177 8 the the DET asir-4814 177 9 electrical electrical ADJ asir-4814 177 10 characteristics characteristic NOUN asir-4814 177 11 of of ADP asir-4814 177 12 a a DET asir-4814 177 13 log log NOUN asir-4814 177 14 - - PUNCT asir-4814 177 15 periodic periodic NOUN asir-4814 177 16 antenna antenna NOUN asir-4814 177 17 ( ( PUNCT asir-4814 177 18 yakovlev yakovlev PROPN asir-4814 177 19 & & CCONJ asir-4814 177 20 pyatnenkov pyatnenkov PROPN asir-4814 177 21 , , PUNCT asir-4814 177 22 2007 2007 NUM asir-4814 177 23 ) ) PUNCT asir-4814 177 24 . . PUNCT asir-4814 178 1 their their PRON asir-4814 178 2 results result NOUN asir-4814 178 3 will will AUX asir-4814 178 4 be be AUX asir-4814 178 5 discussed discuss VERB asir-4814 178 6 in in ADP asir-4814 178 7 section section NOUN asir-4814 178 8 4 4 NUM asir-4814 178 9 . . NOUN asir-4814 178 10 4 4 NUM asir-4814 178 11 . . X asir-4814 178 12 log log NOUN asir-4814 178 13 - - PUNCT asir-4814 178 14 periodic periodic NOUN asir-4814 178 15 antenna antenna NOUN asir-4814 178 16 in in ADP asir-4814 178 17 section section NOUN asir-4814 178 18 3 3 NUM asir-4814 178 19 it it PRON asir-4814 178 20 is be AUX asir-4814 178 21 shown show VERB asir-4814 178 22 that that SCONJ asir-4814 178 23 using use VERB asir-4814 178 24 in in ADP asir-4814 178 25 - - PUNCT asir-4814 178 26 phase phase NOUN asir-4814 178 27 currents current NOUN asir-4814 178 28 in in ADP asir-4814 178 29 director director NOUN asir-4814 178 30 antennas antenna NOUN asir-4814 178 31 provide provide VERB asir-4814 178 32 high high ADJ asir-4814 178 33 directivity directivity NOUN asir-4814 178 34 in in ADP asir-4814 178 35 a a DET asir-4814 178 36 wide wide ADJ asir-4814 178 37 frequency frequency NOUN asir-4814 178 38 range range NOUN asir-4814 178 39 . . PUNCT asir-4814 179 1 the the DET asir-4814 179 2 result result NOUN asir-4814 179 3 was be AUX asir-4814 179 4 obtained obtain VERB asir-4814 179 5 for for ADP asir-4814 179 6 the the DET asir-4814 179 7 antenna antenna NOUN asir-4814 179 8 array array NOUN asir-4814 179 9 , , PUNCT asir-4814 179 10 consisting consist VERB asir-4814 179 11 from from ADP asir-4814 179 12 the the DET asir-4814 179 13 radiators radiator NOUN asir-4814 179 14 with with ADP asir-4814 179 15 loads load NOUN asir-4814 179 16 , , PUNCT asir-4814 179 17 by by ADP asir-4814 179 18 a a DET asir-4814 179 19 method method NOUN asir-4814 179 20 of of ADP asir-4814 179 21 electrostatic electrostatic ADJ asir-4814 179 22 analogy analogy NOUN asir-4814 179 23 . . PUNCT asir-4814 180 1 this this DET asir-4814 180 2 method method NOUN asir-4814 180 3 allows allow VERB asir-4814 180 4 us we PRON asir-4814 180 5 to to PART asir-4814 180 6 propose propose VERB asir-4814 180 7 a a DET asir-4814 180 8 new new ADJ asir-4814 180 9 approach approach NOUN asir-4814 180 10 for for ADP asir-4814 180 11 solving solve VERB asir-4814 180 12 the the DET asir-4814 180 13 problem problem NOUN asir-4814 180 14 of of ADP asir-4814 180 15 reducing reduce VERB asir-4814 180 16 dimensions dimension NOUN asir-4814 180 17 of of ADP asir-4814 180 18 the the DET asir-4814 180 19 log log NOUN asir-4814 180 20 - - PUNCT asir-4814 180 21 periodic periodic NOUN asir-4814 180 22 antenna antenna NOUN asir-4814 180 23 . . PUNCT asir-4814 181 1 its its PRON asir-4814 181 2 structure structure NOUN asir-4814 181 3 does do AUX asir-4814 181 4 not not PART asir-4814 181 5 withstand withstand VERB asir-4814 181 6 rough rough ADJ asir-4814 181 7 intervention intervention NOUN asir-4814 181 8 , , PUNCT asir-4814 181 9 i.e. i.e. X asir-4814 181 10 , , PUNCT asir-4814 181 11 attempts attempt VERB asir-4814 181 12 to to PART asir-4814 181 13 decrease decrease VERB asir-4814 181 14 longitudinal longitudinal ADJ asir-4814 181 15 dimensions dimension NOUN asir-4814 181 16 of of ADP asir-4814 181 17 an an DET asir-4814 181 18 antenna antenna NOUN asir-4814 181 19 by by ADP asir-4814 181 20 violating violate VERB asir-4814 181 21 geometric geometric ADJ asir-4814 181 22 progression progression NOUN asir-4814 181 23 relationships relationship NOUN asir-4814 181 24 is be AUX asir-4814 181 25 causing cause VERB asir-4814 181 26 a a DET asir-4814 181 27 sharp sharp ADJ asir-4814 181 28 deterioration deterioration NOUN asir-4814 181 29 of of ADP asir-4814 181 30 electrical electrical ADJ asir-4814 181 31 characteristics characteristic NOUN asir-4814 181 32 and and CCONJ asir-4814 181 33 gives give VERB asir-4814 181 34 an an DET asir-4814 181 35 insignificant insignificant ADJ asir-4814 181 36 decrease decrease NOUN asir-4814 181 37 in in ADP asir-4814 181 38 overall overall ADJ asir-4814 181 39 dimensions dimension NOUN asir-4814 181 40 . . PUNCT asir-4814 182 1 in in ADP asir-4814 182 2 accordance accordance NOUN asir-4814 182 3 with with ADP asir-4814 182 4 a a DET asir-4814 182 5 well well ADV asir-4814 182 6 - - PUNCT asir-4814 182 7 known know VERB asir-4814 182 8 method method NOUN asir-4814 182 9 of of ADP asir-4814 182 10 calculating calculate VERB asir-4814 182 11 log log NOUN asir-4814 182 12 - - PUNCT asir-4814 182 13 periodic periodic NOUN asir-4814 182 14 antenna antenna NOUN asir-4814 182 15 ( ( PUNCT asir-4814 182 16 carrel carrel PROPN asir-4814 182 17 , , PUNCT asir-4814 182 18 1961 1961 NUM asir-4814 182 19 ) ) PUNCT asir-4814 182 20 we we PRON asir-4814 182 21 consider consider VERB asir-4814 182 22 an an DET asir-4814 182 23 active active ADJ asir-4814 182 24 region region NOUN asir-4814 182 25 of of ADP asir-4814 182 26 this this DET asir-4814 182 27 antenna antenna NOUN asir-4814 182 28 array array NOUN asir-4814 182 29 , , PUNCT asir-4814 182 30 consisting consist VERB asir-4814 182 31 of of ADP asir-4814 182 32 three three NUM asir-4814 182 33 radiators radiator NOUN asir-4814 182 34 ( ( PUNCT asir-4814 182 35 figure figure NOUN asir-4814 182 36 5 5 NUM asir-4814 182 37 ) ) PUNCT asir-4814 182 38 , , PUNCT asir-4814 182 39 and and CCONJ asir-4814 182 40 determine determine VERB asir-4814 182 41 fields field NOUN asir-4814 182 42 of of ADP asir-4814 182 43 these these DET asir-4814 182 44 radiators radiator NOUN asir-4814 182 45 when when SCONJ asir-4814 182 46 emf emf PROPN asir-4814 182 47 e e PROPN asir-4814 182 48 is be AUX asir-4814 182 49 located locate VERB asir-4814 182 50 in in ADP asir-4814 182 51 the the DET asir-4814 182 52 center center NOUN asir-4814 182 53 of of ADP asir-4814 182 54 a a DET asir-4814 182 55 middle middle ADJ asir-4814 182 56 radiator radiator NOUN asir-4814 182 57 . . PUNCT asir-4814 183 1 let let VERB asir-4814 183 2 the the DET asir-4814 183 3 arm arm NOUN asir-4814 183 4 length length NOUN asir-4814 183 5 of of ADP asir-4814 183 6 the the DET asir-4814 183 7 middle middle ADJ asir-4814 183 8 radiator radiator NOUN asir-4814 183 9 is be AUX asir-4814 183 10 𝐿0 𝐿0 VERB asir-4814 183 11 4⁄ 4⁄ NUM asir-4814 183 12 ( ( PUNCT asir-4814 183 13   X asir-4814 183 14 is be AUX asir-4814 183 15 the the DET asir-4814 183 16 wavelength wavelength NOUN asir-4814 183 17 ) ) PUNCT asir-4814 183 18 , , PUNCT asir-4814 183 19 the the DET asir-4814 183 20 arm arm NOUN asir-4814 183 21 length length NOUN asir-4814 183 22 of of ADP asir-4814 183 23 the the DET asir-4814 183 24 left left NOUN asir-4814 183 25 ( ( PUNCT asir-4814 183 26 longer long ADJ asir-4814 183 27 ) ) PUNCT asir-4814 183 28 radiator radiator NOUN asir-4814 183 29 is be AUX asir-4814 183 30 𝐿1ο€½ 𝐿1ο€½ NOUN asir-4814 183 31 /4 /4 NOUN asir-4814 183 32   PROPN asir-4814 183 33 , , PUNCT asir-4814 183 34 and and CCONJ asir-4814 183 35 the the DET asir-4814 183 36 arm arm NOUN asir-4814 183 37 length length NOUN asir-4814 183 38 of of ADP asir-4814 183 39 the the DET asir-4814 183 40 right right ADJ asir-4814 183 41 ( ( PUNCT asir-4814 183 42 shorter short ADJ asir-4814 183 43 ) ) PUNCT asir-4814 183 44 radiator radiator NOUN asir-4814 183 45 is be AUX asir-4814 183 46 𝐿2ο€½ 𝐿2ο€½ NOUN asir-4814 183 47 /4 /4 NOUN asir-4814 183 48 , , PUNCT asir-4814 183 49 where where SCONJ asir-4814 183 50   NOUN asir-4814 183 51 is be AUX asir-4814 183 52 a a DET asir-4814 183 53 denominator denominator NOUN asir-4814 183 54 of of ADP asir-4814 183 55 a a DET asir-4814 183 56 geometric geometric ADJ asir-4814 183 57 progression progression NOUN asir-4814 183 58 , , PUNCT asir-4814 183 59 according accord VERB asir-4814 183 60 to to ADP asir-4814 183 61 which which PRON asir-4814 183 62 the the DET asir-4814 183 63 radiators radiator NOUN asir-4814 183 64 ’ ' PUNCT asir-4814 183 65 dimensions dimension NOUN asir-4814 183 66 are be AUX asir-4814 183 67 changed change VERB asir-4814 183 68 . . PUNCT asir-4814 184 1 a a DET asir-4814 184 2 magnitude magnitude NOUN asir-4814 184 3   NUM asir-4814 184 4 is be AUX asir-4814 184 5 another another DET asir-4814 184 6 parameter parameter NOUN asir-4814 184 7 , , PUNCT asir-4814 184 8 it it PRON asir-4814 184 9 is be AUX asir-4814 184 10 equal equal ADJ asir-4814 184 11 to to ADP asir-4814 184 12   PROPN asir-4814 184 13 ο€½ ο€½ NUM asir-4814 184 14 0.251cot 0.251cot NUM asir-4814 184 15 , , PUNCT asir-4814 184 16 where where SCONJ asir-4814 184 17   NOUN asir-4814 184 18 is be AUX asir-4814 184 19 an an DET asir-4814 184 20 angle angle NOUN asir-4814 184 21 between between ADP asir-4814 184 22 an an DET asir-4814 184 23 array array NOUN asir-4814 184 24 axis axis NOUN asir-4814 184 25 and and CCONJ asir-4814 184 26 a a DET asir-4814 184 27 line line NOUN asir-4814 184 28 passing pass VERB asir-4814 184 29 through through ADP asir-4814 184 30 radiators radiator NOUN asir-4814 184 31 ends end VERB asir-4814 184 32 . . PUNCT asir-4814 185 1 the the DET asir-4814 185 2 value value NOUN asir-4814 185 3   PUNCT asir-4814 185 4 is be AUX asir-4814 185 5 the the DET asir-4814 185 6 distance distance NOUN asir-4814 185 7 measured measure VERB asir-4814 185 8 in in ADP asir-4814 185 9 the the DET asir-4814 185 10 wavelengths wavelength NOUN asir-4814 185 11 between between ADP asir-4814 185 12 the the DET asir-4814 185 13 half half ADJ asir-4814 185 14 - - PUNCT asir-4814 185 15 wave wave NOUN asir-4814 185 16 radiator radiator NOUN asir-4814 185 17 and and CCONJ asir-4814 185 18 the the DET asir-4814 185 19 smaller small ADJ asir-4814 185 20 neighboring neighboring NOUN asir-4814 185 21 radiator radiator NOUN asir-4814 185 22 : : PUNCT asir-4814 185 23 𝑏2 𝑏2 PROPN asir-4814 185 24 ο€½ ο€½ PROPN asir-4814 185 25   PROPN asir-4814 185 26 , , PUNCT asir-4814 185 27 and and CCONJ asir-4814 185 28 respectively respectively ADV asir-4814 185 29 the the DET asir-4814 185 30 distance distance NOUN asir-4814 185 31 measured measure VERB asir-4814 185 32 in in ADP asir-4814 185 33 the the DET asir-4814 185 34 wavelengths wavelength NOUN asir-4814 185 35 between between ADP asir-4814 185 36 the the DET asir-4814 185 37 half half ADJ asir-4814 185 38 - - PUNCT asir-4814 185 39 wave wave NOUN asir-4814 185 40 radiator radiator NOUN asir-4814 185 41 and and CCONJ asir-4814 185 42 the the DET asir-4814 185 43 larger large ADJ asir-4814 185 44 neighboring neighboring NOUN asir-4814 185 45 radiator radiator NOUN asir-4814 185 46 is be AUX asir-4814 185 47 equal equal ADJ asir-4814 185 48 to to ADP asir-4814 185 49 𝑏1 𝑏1 VERB asir-4814 185 50 = = PUNCT asir-4814 185 51 σλ σλ PROPN asir-4814 185 52 τ⁄ τ⁄ PROPN asir-4814 185 53 . . PUNCT asir-4814 186 1 as as SCONJ asir-4814 186 2 said say VERB asir-4814 186 3 in in ADP asir-4814 186 4 ( ( PUNCT asir-4814 186 5 yakovlev yakovlev PROPN asir-4814 186 6 & & CCONJ asir-4814 186 7 pyatnenkov pyatnenkov PROPN asir-4814 186 8 , , PUNCT asir-4814 186 9 2007 2007 NUM asir-4814 186 10 ) ) PUNCT asir-4814 186 11 , , PUNCT asir-4814 186 12 the the DET asir-4814 186 13 generalization generalization NOUN asir-4814 186 14 of of ADP asir-4814 186 15 technic technic NOUN asir-4814 186 16 information information NOUN asir-4814 186 17 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 186 18 applied apply VERB asir-4814 186 19 science science NOUN asir-4814 186 20 and and CCONJ asir-4814 186 21 innovative innovative ADJ asir-4814 186 22 research research NOUN asir-4814 186 23 vol vol NOUN asir-4814 186 24 . . PROPN asir-4814 187 1 6 6 NUM asir-4814 187 2 , , PUNCT asir-4814 187 3 no no INTJ asir-4814 187 4 . . NOUN asir-4814 187 5 2 2 NUM asir-4814 187 6 , , PUNCT asir-4814 187 7 2022 2022 NUM asir-4814 187 8 80 80 NUM asir-4814 187 9 published publish VERB asir-4814 187 10 by by ADP asir-4814 187 11 scholink scholink PROPN asir-4814 187 12 inc inc PROPN asir-4814 187 13 . . PROPN asir-4814 188 1 leads lead VERB asir-4814 188 2 to to ADP asir-4814 188 3 the the DET asir-4814 188 4 conclusion conclusion NOUN asir-4814 188 5 that that SCONJ asir-4814 188 6 the the DET asir-4814 188 7 minimal minimal ADJ asir-4814 188 8 changes change NOUN asir-4814 188 9 in in ADP asir-4814 188 10 the the DET asir-4814 188 11 electrical electrical ADJ asir-4814 188 12 characteristics characteristic NOUN asir-4814 188 13 of of ADP asir-4814 188 14 the the DET asir-4814 188 15 log log NOUN asir-4814 188 16 - - PUNCT asir-4814 188 17 periodic periodic NOUN asir-4814 188 18 antenna antenna NOUN asir-4814 188 19 with with ADP asir-4814 188 20 metal metal NOUN asir-4814 188 21 radiators radiator NOUN asir-4814 188 22 within within ADP asir-4814 188 23 the the DET asir-4814 188 24 frequency frequency NOUN asir-4814 188 25 range range NOUN asir-4814 188 26 from from ADP asir-4814 188 27 f f PROPN asir-4814 188 28 to to ADP asir-4814 188 29 f f PRON asir-4814 188 30 occur occur VERB asir-4814 188 31 when when SCONJ asir-4814 188 32 / / PROPN asir-4814 188 33 ο€½ ο€½ NOUN asir-4814 188 34 0.19 0.19 NUM asir-4814 188 35 . . PUNCT asir-4814 189 1 if if SCONJ asir-4814 189 2 to to PART asir-4814 189 3 assume assume VERB asir-4814 189 4 that that SCONJ asir-4814 189 5 this this DET asir-4814 189 6 relation relation NOUN asir-4814 189 7 is be AUX asir-4814 189 8 also also ADV asir-4814 189 9 valid valid ADJ asir-4814 189 10 for for ADP asir-4814 189 11 the the DET asir-4814 189 12 considered consider VERB asir-4814 189 13 array array NOUN asir-4814 189 14 and and CCONJ asir-4814 189 15 for for ADP asir-4814 189 16 definiteness definiteness NOUN asir-4814 189 17 to to PART asir-4814 189 18 take take VERB asir-4814 189 19 that that DET asir-4814 189 20   NOUN asir-4814 189 21 is be AUX asir-4814 189 22 equal equal ADJ asir-4814 189 23 to to ADP asir-4814 189 24 0.9 0.9 NUM asir-4814 189 25 , , PUNCT asir-4814 189 26 then then ADV asir-4814 189 27   X asir-4814 189 28 = = SYM asir-4814 189 29 0.146 0.146 NUM asir-4814 189 30 , , PUNCT asir-4814 189 31 𝑏1=0.19 𝑏1=0.19 NOUN asir-4814 189 32 πœ† πœ† NOUN asir-4814 189 33 , , PUNCT asir-4814 189 34 𝑏2 𝑏2 PROPN asir-4814 189 35 = = PUNCT asir-4814 189 36 0.171πœ† 0.171πœ† PROPN asir-4814 189 37 , , PUNCT asir-4814 189 38 𝐿1 𝐿1 PROPN asir-4814 189 39 = = PUNCT asir-4814 189 40 𝐿0 𝐿0 VERB asir-4814 189 41 0.9 0.9 NUM asir-4814 189 42 = = SYM asir-4814 189 43 0.278πœ† 0.278πœ† PROPN asir-4814 189 44 , , PUNCT asir-4814 189 45 𝐿2 𝐿2 PROPN asir-4814 190 1 = = SYM asir-4814 190 2 𝐿0⁄ 𝐿0⁄ PROPN asir-4814 190 3 βˆ™ βˆ™ PROPN asir-4814 190 4 0.9 0.9 NUM asir-4814 190 5 = = SYM asir-4814 190 6 0.225πœ† 0.225πœ† ADJ asir-4814 190 7 , , PUNCT asir-4814 190 8 figure figure NOUN asir-4814 190 9 5 5 NUM asir-4814 190 10 . . PUNCT asir-4814 190 11 directional directional ADJ asir-4814 190 12 antenna antenna NOUN asir-4814 190 13 of of ADP asir-4814 190 14 three three NUM asir-4814 190 15 radiators radiator NOUN asir-4814 190 16 as as SCONJ asir-4814 190 17 it it PRON asir-4814 190 18 was be AUX asir-4814 190 19 said say VERB asir-4814 190 20 in in ADP asir-4814 190 21 section section NOUN asir-4814 190 22 3 3 NUM asir-4814 190 23 , , PUNCT asir-4814 190 24 since since SCONJ asir-4814 190 25 all all DET asir-4814 190 26 elements element NOUN asir-4814 190 27 of of ADP asir-4814 190 28 the the DET asir-4814 190 29 system system NOUN asir-4814 190 30 are be AUX asir-4814 190 31 known know VERB asir-4814 190 32 , , PUNCT asir-4814 190 33 calculations calculation NOUN asir-4814 190 34 can can AUX asir-4814 190 35 be be AUX asir-4814 190 36 performed perform VERB asir-4814 190 37 in in ADP asir-4814 190 38 accordance accordance NOUN asir-4814 190 39 with with ADP asir-4814 190 40 the the DET asir-4814 190 41 known know VERB asir-4814 190 42 methods method NOUN asir-4814 190 43 . . PUNCT asir-4814 191 1 let let VERB asir-4814 191 2 us we PRON asir-4814 191 3 apply apply VERB asir-4814 191 4 the the DET asir-4814 191 5 calculation calculation NOUN asir-4814 191 6 method method NOUN asir-4814 191 7 used use VERB asir-4814 191 8 in in ADP asir-4814 191 9 the the DET asir-4814 191 10 analysis analysis NOUN asir-4814 191 11 of of ADP asir-4814 191 12 the the DET asir-4814 191 13 antenna antenna NOUN asir-4814 191 14 array array NOUN asir-4814 191 15 presented present VERB asir-4814 191 16 in in ADP asir-4814 191 17 figure figure NOUN asir-4814 191 18 1 1 NUM asir-4814 191 19 . . PUNCT asir-4814 192 1 at at ADP asir-4814 192 2 that that SCONJ asir-4814 192 3 we we PRON asir-4814 192 4 will will AUX asir-4814 192 5 consider consider VERB asir-4814 192 6 that that PRON asir-4814 192 7 radii radius NOUN asir-4814 192 8 of of ADP asir-4814 192 9 all all DET asir-4814 192 10 radiators radiator NOUN asir-4814 192 11 are be AUX asir-4814 192 12 the the DET asir-4814 192 13 same same ADJ asir-4814 192 14 . . PUNCT asir-4814 193 1 the the DET asir-4814 193 2 radiators radiator NOUN asir-4814 193 3 ’ ' PUNCT asir-4814 193 4 lengths length NOUN asir-4814 193 5 , , PUNCT asir-4814 193 6 strictly strictly ADV asir-4814 193 7 speaking speak VERB asir-4814 193 8 , , PUNCT asir-4814 193 9 are be AUX asir-4814 193 10 not not PART asir-4814 193 11 the the DET asir-4814 193 12 same same ADJ asir-4814 193 13 , , PUNCT asir-4814 193 14 but but CCONJ asir-4814 193 15 they they PRON asir-4814 193 16 differ differ VERB asir-4814 193 17 slightly slightly ADV asir-4814 193 18 . . PUNCT asir-4814 194 1 in in ADP asir-4814 194 2 the the DET asir-4814 194 3 written write VERB asir-4814 194 4 below below ADP asir-4814 194 5 formulas formula NOUN asir-4814 194 6 , , PUNCT asir-4814 194 7 the the DET asir-4814 194 8 difference difference NOUN asir-4814 194 9 between between ADP asir-4814 194 10 them they PRON asir-4814 194 11 is be AUX asir-4814 194 12 not not PART asir-4814 194 13 fixed fix VERB asir-4814 194 14 in in ADP asir-4814 194 15 order order NOUN asir-4814 194 16 to to PART asir-4814 194 17 simplify simplify VERB asir-4814 194 18 the the DET asir-4814 194 19 written write VERB asir-4814 194 20 expressions expression NOUN asir-4814 194 21 . . PUNCT asir-4814 195 1 but but CCONJ asir-4814 195 2 the the DET asir-4814 195 3 calculation calculation NOUN asir-4814 195 4 with with ADP asir-4814 195 5 allowance allowance NOUN asir-4814 195 6 for for ADP asir-4814 195 7 difference difference NOUN asir-4814 195 8 in in ADP asir-4814 195 9 their their PRON asir-4814 195 10 lengths length NOUN asir-4814 195 11 shows show VERB asir-4814 195 12 that that SCONJ asir-4814 195 13 this this DET asir-4814 195 14 difference difference NOUN asir-4814 195 15 has have VERB asir-4814 195 16 practically practically ADV asir-4814 195 17 no no DET asir-4814 195 18 effect effect NOUN asir-4814 195 19 on on ADP asir-4814 195 20 the the DET asir-4814 195 21 result result NOUN asir-4814 195 22 . . PUNCT asir-4814 196 1 in in ADP asir-4814 196 2 order order NOUN asir-4814 196 3 to to PART asir-4814 196 4 use use VERB asir-4814 196 5 this this DET asir-4814 196 6 procedure procedure NOUN asir-4814 196 7 , , PUNCT asir-4814 196 8 we we PRON asir-4814 196 9 divide divide VERB asir-4814 196 10 the the DET asir-4814 196 11 active active ADJ asir-4814 196 12 radiator radiator NOUN asir-4814 196 13 ( ( PUNCT asir-4814 196 14 conductor conductor NOUN asir-4814 196 15 0 0 NUM asir-4814 196 16 ) ) PUNCT asir-4814 196 17 into into ADP asir-4814 196 18 two two NUM asir-4814 196 19 parallel parallel ADJ asir-4814 196 20 conductors conductor NOUN asir-4814 196 21 ( ( PUNCT asir-4814 196 22 with with ADP asir-4814 196 23 numbers number NOUN asir-4814 196 24 01 01 NUM asir-4814 196 25 and and CCONJ asir-4814 196 26 02 02 NUM asir-4814 196 27 ) ) PUNCT asir-4814 196 28 , , PUNCT asir-4814 196 29 and and CCONJ asir-4814 196 30 afterwards afterwards ADV asir-4814 196 31 the the DET asir-4814 196 32 obtained obtain VERB asir-4814 196 33 system system NOUN asir-4814 196 34 of of ADP asir-4814 196 35 the the DET asir-4814 196 36 four four NUM asir-4814 196 37 conductors conductor NOUN asir-4814 196 38 is be AUX asir-4814 196 39 divided divide VERB asir-4814 196 40 into into ADP asir-4814 196 41 two two NUM asir-4814 196 42 circuits circuit NOUN asir-4814 196 43 ( ( PUNCT asir-4814 196 44 conductors conductor NOUN asir-4814 196 45 with with ADP asir-4814 196 46 numbers number NOUN asir-4814 196 47 01 01 NUM asir-4814 196 48 and and CCONJ asir-4814 196 49 1 1 NUM asir-4814 196 50 in in ADP asir-4814 196 51 the the DET asir-4814 196 52 first first ADJ asir-4814 196 53 circuit circuit NOUN asir-4814 196 54 , , PUNCT asir-4814 196 55 conductors conductor NOUN asir-4814 196 56 with with ADP asir-4814 196 57 numbers number NOUN asir-4814 196 58 02 02 NUM asir-4814 196 59 and and CCONJ asir-4814 196 60 2 2 NUM asir-4814 196 61 in in ADP asir-4814 196 62 the the DET asir-4814 196 63 second second ADJ asir-4814 196 64 circuit circuit NOUN asir-4814 196 65 ) ) PUNCT asir-4814 196 66 . . PUNCT asir-4814 197 1 in in ADP asir-4814 197 2 accordance accordance NOUN asir-4814 197 3 with with ADP asir-4814 197 4 the the DET asir-4814 197 5 method method NOUN asir-4814 197 6 of of ADP asir-4814 197 7 the the DET asir-4814 197 8 electrostatic electrostatic ADJ asir-4814 197 9 analogy analogy NOUN asir-4814 197 10 for for ADP asir-4814 197 11 two two NUM asir-4814 197 12 arrays array NOUN asir-4814 197 13 , , PUNCT asir-4814 197 14 that that ADV asir-4814 197 15 is is ADV asir-4814 197 16 , , PUNCT asir-4814 197 17 accordingly accordingly ADV asir-4814 197 18 to to ADP asir-4814 197 19 the the DET asir-4814 197 20 physical physical ADJ asir-4814 197 21 content content NOUN asir-4814 197 22 of of ADP asir-4814 197 23 the the DET asir-4814 197 24 problem problem NOUN asir-4814 197 25 , , PUNCT asir-4814 197 26 one one PRON asir-4814 197 27 must must AUX asir-4814 197 28 assume assume VERB asir-4814 197 29 that that SCONJ asir-4814 197 30 the the DET asir-4814 197 31 ratio ratio NOUN asir-4814 197 32 of of ADP asir-4814 197 33 emf emf NOUN asir-4814 197 34 in in ADP asir-4814 197 35 the the DET asir-4814 197 36 centers center NOUN asir-4814 197 37 of of ADP asir-4814 197 38 wires wire NOUN asir-4814 197 39 01 01 NUM asir-4814 197 40 and and CCONJ asir-4814 197 41 02 02 NUM asir-4814 197 42 is be AUX asir-4814 197 43 equal equal ADJ asir-4814 197 44 to to ADP asir-4814 197 45 the the DET asir-4814 197 46 ratio ratio NOUN asir-4814 197 47 of of ADP asir-4814 197 48 the the DET asir-4814 197 49 partial partial ADJ asir-4814 197 50 capacitances capacitance NOUN asir-4814 197 51 𝐢01 𝐢01 PROPN asir-4814 197 52 and and CCONJ asir-4814 197 53 𝐢02 𝐢02 PROPN asir-4814 197 54 , , PUNCT asir-4814 197 55 i.e. i.e. X asir-4814 197 56 , , PUNCT asir-4814 197 57 𝑒1 𝑒1 NOUN asir-4814 197 58 = = SYM asir-4814 197 59 0.52e 0.52e PROPN asir-4814 197 60 , , PUNCT asir-4814 197 61 𝑒2 𝑒2 PROPN asir-4814 197 62 = = SYM asir-4814 197 63 0.48e 0.48e PROPN asir-4814 197 64 . . PUNCT asir-4814 198 1 a a DET asir-4814 198 2 system system NOUN asir-4814 198 3 of of ADP asir-4814 198 4 two two NUM asir-4814 198 5 parallel parallel ADJ asir-4814 198 6 conductors conductor NOUN asir-4814 198 7 located locate VERB asir-4814 198 8 at at ADP asir-4814 198 9 the the DET asir-4814 198 10 distance distance NOUN asir-4814 198 11 𝑏1 𝑏1 NOUN asir-4814 198 12 can can AUX asir-4814 198 13 be be AUX asir-4814 198 14 divided divide VERB asir-4814 198 15 into into ADP asir-4814 198 16 a a DET asir-4814 198 17 dipole dipole NOUN asir-4814 198 18 and and CCONJ asir-4814 198 19 a a DET asir-4814 198 20 long long ADJ asir-4814 198 21 line line NOUN asir-4814 198 22 , , PUNCT asir-4814 198 23 opened open VERB asir-4814 198 24 on on ADP asir-4814 198 25 both both DET asir-4814 198 26 ends end NOUN asir-4814 198 27 . . PUNCT asir-4814 199 1 the the DET asir-4814 199 2 current current NOUN asir-4814 199 3 in in ADP asir-4814 199 4 the the DET asir-4814 199 5 center center NOUN asir-4814 199 6 of of ADP asir-4814 199 7 each each DET asir-4814 199 8 dipole dipole NOUN asir-4814 199 9 is be AUX asir-4814 199 10 equal equal ADJ asir-4814 199 11 to to ADP asir-4814 199 12 𝐽𝑖𝑑 𝐽𝑖𝑑 PROPN asir-4814 199 13 = = SYM asir-4814 199 14 𝑒𝑖 𝑒𝑖 X asir-4814 199 15 ( ( PUNCT asir-4814 199 16 4𝑍𝑖𝑑)⁄ 4𝑍𝑖𝑑)⁄ NUM asir-4814 199 17 ; ; PUNCT asir-4814 199 18 the the DET asir-4814 199 19 current current NOUN asir-4814 199 20 in in ADP asir-4814 199 21 the the DET asir-4814 199 22 center center NOUN asir-4814 199 23 of of ADP asir-4814 199 24 each each DET asir-4814 199 25 conductor conductor NOUN asir-4814 199 26 of of ADP asir-4814 199 27 a a DET asir-4814 199 28 long long ADJ asir-4814 199 29 line line NOUN asir-4814 199 30 is be AUX asir-4814 199 31 equal equal ADJ asir-4814 199 32 to to ADP asir-4814 199 33 𝐽𝑖𝑙 𝐽𝑖𝑙 PROPN asir-4814 199 34 = = PUNCT asir-4814 199 35 𝑒𝑖 𝑒𝑖 X asir-4814 199 36 ( ( PUNCT asir-4814 199 37 2𝑍𝑖𝑙).⁄ 2𝑍𝑖𝑙).⁄ PROPN asir-4814 199 38 accordingly accordingly ADV asir-4814 199 39 , , PUNCT asir-4814 199 40 the the DET asir-4814 199 41 current current NOUN asir-4814 199 42 in in ADP asir-4814 199 43 the the DET asir-4814 199 44 active active ADJ asir-4814 199 45 radiator radiator NOUN asir-4814 199 46 center center NOUN asir-4814 199 47 is be AUX asir-4814 199 48 the the DET asir-4814 199 49 sum sum NOUN asir-4814 199 50 of of ADP asir-4814 199 51 the the DET asir-4814 199 52 currents current NOUN asir-4814 199 53 of of ADP asir-4814 199 54 the the DET asir-4814 199 55 dipole dipole NOUN asir-4814 199 56 and and CCONJ asir-4814 199 57 the the DET asir-4814 199 58 long long ADJ asir-4814 199 59 line line NOUN asir-4814 199 60 , , PUNCT asir-4814 199 61 and and CCONJ asir-4814 199 62 the the DET asir-4814 199 63 current current NOUN asir-4814 199 64 in in ADP asir-4814 199 65 the the DET asir-4814 199 66 passive passive ADJ asir-4814 199 67 radiator radiator NOUN asir-4814 199 68 center center NOUN asir-4814 199 69 is be AUX asir-4814 199 70 the the DET asir-4814 199 71 difference difference NOUN asir-4814 199 72 between between ADP asir-4814 199 73 these these DET asir-4814 199 74 magnitudes magnitude NOUN asir-4814 199 75 , , PUNCT asir-4814 199 76 i.e. i.e. X asir-4814 199 77 , , PUNCT asir-4814 199 78 𝐽0 𝐽0 NOUN asir-4814 199 79 = = PUNCT asir-4814 199 80 βˆ‘ βˆ‘ PUNCT asir-4814 199 81 ( ( PUNCT asir-4814 200 1 𝐽𝑖𝑑 𝐽𝑖𝑑 PROPN asir-4814 200 2 + + NUM asir-4814 200 3 𝐽𝑖𝑙 𝐽𝑖𝑙 PROPN asir-4814 200 4 ) ) PUNCT asir-4814 200 5 2 2 NUM asir-4814 200 6 𝑖=1 𝑖=1 PUNCT asir-4814 200 7 , , PUNCT asir-4814 200 8 𝐽𝑖 𝐽𝑖 PROPN asir-4814 200 9 = = PUNCT asir-4814 201 1 𝐽𝑖𝑑 𝐽𝑖𝑑 NOUN asir-4814 201 2 βˆ’ βˆ’ NOUN asir-4814 201 3 𝐽𝑖𝑙. 𝐽𝑖𝑙. PROPN asir-4814 201 4 in in ADP asir-4814 201 5 the the DET asir-4814 201 6 case case NOUN asir-4814 201 7 of of ADP asir-4814 201 8 metal metal NOUN asir-4814 201 9 wires wire NOUN asir-4814 201 10 in in ADP asir-4814 201 11 the the DET asir-4814 201 12 first first ADJ asir-4814 201 13 approximation approximation NOUN asir-4814 202 1 𝑍𝑖𝑑 𝑍𝑖𝑑 PROPN asir-4814 202 2 = = PUNCT asir-4814 202 3 𝑅𝑑 𝑅𝑑 PROPN asir-4814 202 4 + + CCONJ asir-4814 202 5 𝑗𝑋𝑖𝑑 𝑗𝑋𝑖𝑑 PROPN asir-4814 202 6 , , PUNCT asir-4814 202 7 𝑅𝑑 𝑅𝑑 PROPN asir-4814 202 8 = = SYM asir-4814 202 9 80tan2(π‘˜πΏ0 80tan2(π‘˜πΏ0 NUM asir-4814 202 10 2⁄ 2⁄ NUM asir-4814 202 11 ) ) PUNCT asir-4814 202 12 , , PUNCT asir-4814 202 13 𝑋𝑖𝑑 𝑋𝑖𝑑 PROPN asir-4814 202 14 = = SYM asir-4814 202 15 120𝑙𝑛(2𝐿0 120𝑙𝑛(2𝐿0 NUM asir-4814 202 16 π‘Žπ‘’π‘–β„ π‘Žπ‘’π‘–β„ NOUN asir-4814 202 17 ) ) PUNCT asir-4814 202 18 cot cot NOUN asir-4814 202 19 π‘˜πΏ0 π‘˜πΏ0 PROPN asir-4814 202 20 , , PUNCT asir-4814 202 21 𝑗𝑋𝑖𝑙(𝐿𝑖 𝑗𝑋𝑖𝑙(𝐿𝑖 NOUN asir-4814 202 22 , , PUNCT asir-4814 202 23 𝑏𝑖 𝑏𝑖 PROPN asir-4814 202 24 ) ) PUNCT asir-4814 202 25 = = SYM asir-4814 202 26 βˆ’π‘—120 βˆ’π‘—120 PROPN asir-4814 202 27 𝑙𝑛(𝑏𝑖 𝑙𝑛(𝑏𝑖 PROPN asir-4814 202 28 π‘Žβ„ π‘Žβ„ PROPN asir-4814 202 29 ) ) PUNCT asir-4814 203 1 π‘π‘œπ‘‘ π‘π‘œπ‘‘ ADP asir-4814 204 1 π‘˜ π‘˜ DET asir-4814 204 2 𝐿𝑖 𝐿𝑖 NOUN asir-4814 204 3 , , PUNCT asir-4814 204 4 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 204 5 applied apply VERB asir-4814 204 6 science science NOUN asir-4814 204 7 and and CCONJ asir-4814 204 8 innovative innovative ADJ asir-4814 204 9 research research NOUN asir-4814 204 10 vol vol NOUN asir-4814 204 11 . . PROPN asir-4814 205 1 6 6 NUM asir-4814 205 2 , , PUNCT asir-4814 205 3 no no INTJ asir-4814 205 4 . . NOUN asir-4814 205 5 2 2 NUM asir-4814 205 6 , , PUNCT asir-4814 205 7 2022 2022 NUM asir-4814 205 8 81 81 NUM asir-4814 205 9 published publish VERB asir-4814 205 10 by by ADP asir-4814 205 11 scholink scholink PROPN asir-4814 205 12 inc inc PROPN asir-4814 205 13 . . PROPN asir-4814 206 1 where where SCONJ asir-4814 206 2 π‘Žπ‘’π‘– π‘Žπ‘’π‘– PROPN asir-4814 206 3 = = PUNCT asir-4814 206 4 βˆšπ‘Žπ‘π‘– βˆšπ‘Žπ‘π‘– ADP asir-4814 206 5 is be AUX asir-4814 206 6 the the DET asir-4814 206 7 equivalent equivalent ADJ asir-4814 206 8 radius radius NOUN asir-4814 206 9 of of ADP asir-4814 206 10 dipole dipole NOUN asir-4814 206 11 . . PUNCT asir-4814 207 1 the the DET asir-4814 207 2 field field NOUN asir-4814 207 3 amplitude amplitude NOUN asir-4814 207 4 and and CCONJ asir-4814 207 5 phase phase NOUN asir-4814 207 6 of of ADP asir-4814 207 7 each each DET asir-4814 207 8 radiator radiator NOUN asir-4814 207 9 depends depend VERB asir-4814 207 10 on on ADP asir-4814 207 11 its its PRON asir-4814 207 12 structure structure NOUN asir-4814 207 13 and and CCONJ asir-4814 207 14 location location NOUN asir-4814 207 15 in in ADP asir-4814 207 16 an an DET asir-4814 207 17 antenna antenna NOUN asir-4814 207 18 . . PUNCT asir-4814 208 1 expressions expression NOUN asir-4814 208 2 for for ADP asir-4814 208 3 the the DET asir-4814 208 4 currents current NOUN asir-4814 208 5 distributions distribution NOUN asir-4814 208 6 and and CCONJ asir-4814 208 7 the the DET asir-4814 208 8 far far ADJ asir-4814 208 9 fields field NOUN asir-4814 208 10 of of ADP asir-4814 208 11 metal metal NOUN asir-4814 208 12 radiators radiator NOUN asir-4814 208 13 and and CCONJ asir-4814 208 14 radiators radiator NOUN asir-4814 208 15 with with ADP asir-4814 208 16 capacitive capacitive ADJ asir-4814 208 17 loads load NOUN asir-4814 208 18 decreasing decrease VERB asir-4814 208 19 to to ADP asir-4814 208 20 antenna antenna NOUN asir-4814 208 21 ends end NOUN asir-4814 208 22 in in ADP asir-4814 208 23 accordance accordance NOUN asir-4814 208 24 with with ADP asir-4814 208 25 the the DET asir-4814 208 26 linear linear ADJ asir-4814 208 27 law law NOUN asir-4814 208 28 are be AUX asir-4814 208 29 given give VERB asir-4814 208 30 in in ADP asir-4814 208 31 section section NOUN asir-4814 208 32 3 3 NUM asir-4814 208 33 . . PUNCT asir-4814 209 1 consider consider VERB asir-4814 209 2 an an DET asir-4814 209 3 impact impact NOUN asir-4814 209 4 of of ADP asir-4814 209 5 the the DET asir-4814 209 6 radiator radiator NOUN asir-4814 209 7 location location NOUN asir-4814 209 8 on on ADP asir-4814 209 9 the the DET asir-4814 209 10 far far ADJ asir-4814 209 11 field field NOUN asir-4814 209 12 of of ADP asir-4814 209 13 the the DET asir-4814 209 14 antenna antenna NOUN asir-4814 209 15 by by ADP asir-4814 209 16 way way NOUN asir-4814 209 17 of of ADP asir-4814 209 18 a a DET asir-4814 209 19 specific specific ADJ asir-4814 209 20 example example NOUN asir-4814 209 21 of of ADP asir-4814 209 22 the the DET asir-4814 209 23 directional directional ADJ asir-4814 209 24 antenna antenna NOUN asir-4814 209 25 , , PUNCT asir-4814 209 26 shown show VERB asir-4814 209 27 in in ADP asir-4814 209 28 figure figure NOUN asir-4814 209 29 5 5 NUM asir-4814 209 30 . . PUNCT asir-4814 210 1 the the DET asir-4814 210 2 arm arm NOUN asir-4814 210 3 length length NOUN asir-4814 210 4 of of ADP asir-4814 210 5 the the DET asir-4814 210 6 middle middle ADJ asir-4814 210 7 ( ( PUNCT asir-4814 210 8 active active ADJ asir-4814 210 9 ) ) PUNCT asir-4814 210 10 radiator radiator NOUN asir-4814 210 11 is be AUX asir-4814 210 12 equal equal ADJ asir-4814 210 13 to to ADP asir-4814 210 14 0.3 0.3 NUM asir-4814 210 15 ΠΌ ΠΌ NUM asir-4814 210 16 , , PUNCT asir-4814 210 17 i.e. i.e. X asir-4814 210 18 , , PUNCT asir-4814 210 19 the the DET asir-4814 210 20 wave wave NOUN asir-4814 210 21 length length NOUN asir-4814 210 22 of of ADP asir-4814 210 23 the the DET asir-4814 210 24 first first ADJ asir-4814 210 25 ( ( PUNCT asir-4814 210 26 series series NOUN asir-4814 210 27 ) ) PUNCT asir-4814 210 28 resonance resonance NOUN asir-4814 210 29 is be AUX asir-4814 210 30 equal equal ADJ asir-4814 210 31 to to ADP asir-4814 210 32 1.2 1.2 NUM asir-4814 210 33 ΠΌ ΠΌ NUM asir-4814 210 34 . . PUNCT asir-4814 211 1 radii radius NOUN asir-4814 211 2 of of ADP asir-4814 211 3 all all DET asir-4814 211 4 conductors conductor NOUN asir-4814 211 5 are be AUX asir-4814 211 6 the the DET asir-4814 211 7 same same ADJ asir-4814 211 8 and and CCONJ asir-4814 211 9 are be AUX asir-4814 211 10 equal equal ADJ asir-4814 211 11 to to ADP asir-4814 211 12 0.001 0.001 NUM asir-4814 211 13 m. m. NOUN asir-4814 211 14 the the DET asir-4814 211 15 magnitude magnitude NOUN asir-4814 211 16 𝜏 𝜏 NOUN asir-4814 211 17 is be AUX asir-4814 211 18 0.9 0.9 NUM asir-4814 211 19 . . PUNCT asir-4814 212 1 it it PRON asir-4814 212 2 is be AUX asir-4814 212 3 obvious obvious ADJ asir-4814 212 4 that that SCONJ asir-4814 212 5 the the DET asir-4814 212 6 maximal maximal ADJ asir-4814 212 7 radiation radiation NOUN asir-4814 212 8 of of ADP asir-4814 212 9 the the DET asir-4814 212 10 antenna antenna NOUN asir-4814 212 11 should should AUX asir-4814 212 12 be be AUX asir-4814 212 13 directed direct VERB asir-4814 212 14 to to ADP asir-4814 212 15 the the DET asir-4814 212 16 right right NOUN asir-4814 212 17 , , PUNCT asir-4814 212 18 toward toward ADP asir-4814 212 19 the the DET asir-4814 212 20 radiator radiator NOUN asir-4814 212 21 2 2 NUM asir-4814 212 22 . . PUNCT asir-4814 213 1 since since SCONJ asir-4814 213 2 the the DET asir-4814 213 3 radiator radiator NOUN asir-4814 213 4 1 1 NUM asir-4814 213 5 is be AUX asir-4814 213 6 located locate VERB asir-4814 213 7 from from ADP asir-4814 213 8 the the DET asir-4814 213 9 left left NOUN asir-4814 213 10 of of ADP asir-4814 213 11 the the DET asir-4814 213 12 active active ADJ asir-4814 213 13 radiator radiator NOUN asir-4814 213 14 0 0 NUM asir-4814 213 15 , , PUNCT asir-4814 213 16 at at ADP asir-4814 213 17 a a DET asir-4814 213 18 distance distance NOUN asir-4814 213 19 𝑏1 𝑏1 NOUN asir-4814 213 20 from from ADP asir-4814 213 21 it it PRON asir-4814 213 22 , , PUNCT asir-4814 213 23 its its PRON asir-4814 213 24 field field NOUN asir-4814 213 25 lags lag VERB asir-4814 213 26 behind behind ADP asir-4814 213 27 the the DET asir-4814 213 28 active active ADJ asir-4814 213 29 radiator radiator NOUN asir-4814 213 30 field field NOUN asir-4814 213 31 , , PUNCT asir-4814 213 32 firstly firstly ADV asir-4814 213 33 by by ADP asir-4814 213 34 π‘˜π‘1 π‘˜π‘1 PROPN asir-4814 213 35 in in ADP asir-4814 213 36 phase phase NOUN asir-4814 213 37 , , PUNCT asir-4814 213 38 i.e. i.e. X asir-4814 213 39 , , PUNCT asir-4814 213 40 on on ADP asir-4814 213 41 the the DET asir-4814 213 42 propagation propagation NOUN asir-4814 213 43 time time NOUN asir-4814 213 44 of of ADP asir-4814 213 45 the the DET asir-4814 213 46 signal signal NOUN asir-4814 213 47 from from ADP asir-4814 213 48 the the DET asir-4814 213 49 active active ADJ asir-4814 213 50 radiator radiator NOUN asir-4814 213 51 to to ADP asir-4814 213 52 the the DET asir-4814 213 53 passive passive ADJ asir-4814 213 54 radiator radiator NOUN asir-4814 213 55 1 1 NUM asir-4814 213 56 , , PUNCT asir-4814 213 57 and and CCONJ asir-4814 213 58 , , PUNCT asir-4814 213 59 secondly secondly ADV asir-4814 213 60 , , PUNCT asir-4814 213 61 by by ADP asir-4814 213 62 π‘˜π‘1 π‘˜π‘1 NOUN asir-4814 213 63 sin sin NOUN asir-4814 213 64 πœƒβ„ πœƒβ„ PROPN asir-4814 213 65 in in ADP asir-4814 213 66 phase phase NOUN asir-4814 213 67 , , PUNCT asir-4814 213 68 i.e. i.e. X asir-4814 213 69 , , PUNCT asir-4814 213 70 on on ADP asir-4814 213 71 the the DET asir-4814 213 72 time time NOUN asir-4814 213 73 of of ADP asir-4814 213 74 the the DET asir-4814 213 75 signal signal ADJ asir-4814 213 76 propagation propagation NOUN asir-4814 213 77 in in ADP asir-4814 213 78 the the DET asir-4814 213 79 opposite opposite ADJ asir-4814 213 80 direction direction NOUN asir-4814 213 81 , , PUNCT asir-4814 213 82 from from ADP asir-4814 213 83 the the DET asir-4814 213 84 radiator radiator NOUN asir-4814 213 85 1 1 NUM asir-4814 213 86 to to ADP asir-4814 213 87 the the DET asir-4814 213 88 active active ADJ asir-4814 213 89 radiator radiator NOUN asir-4814 213 90 ( ( PUNCT asir-4814 213 91 signal signal NOUN asir-4814 213 92 of of ADP asir-4814 213 93 the the DET asir-4814 213 94 wire wire NOUN asir-4814 213 95 1 1 NUM asir-4814 213 96 , , PUNCT asir-4814 213 97 radiated radiate VERB asir-4814 213 98 at at ADP asir-4814 213 99 an an DET asir-4814 213 100 angle angle NOUN asir-4814 213 101 πœƒ πœƒ NOUN asir-4814 213 102 , , PUNCT asir-4814 213 103 must must AUX asir-4814 213 104 come come VERB asir-4814 213 105 to to ADP asir-4814 213 106 the the DET asir-4814 213 107 active active ADJ asir-4814 213 108 radiator radiator NOUN asir-4814 213 109 at at ADP asir-4814 213 110 the the DET asir-4814 213 111 same same ADJ asir-4814 213 112 angle angle NOUN asir-4814 213 113 πœƒ πœƒ NOUN asir-4814 213 114 , , PUNCT asir-4814 213 115 i.e. i.e. X asir-4814 213 116 , , PUNCT asir-4814 213 117 it it PRON asir-4814 213 118 travels travel VERB asir-4814 213 119 the the DET asir-4814 213 120 distance distance NOUN asir-4814 213 121 𝑏1 𝑏1 NOUN asir-4814 213 122 sin sin VERB asir-4814 213 123 πœƒβ„ πœƒβ„ NOUN asir-4814 213 124 , , PUNCT asir-4814 213 125 and and CCONJ asir-4814 213 126 not not PART asir-4814 213 127 the the DET asir-4814 213 128 distance distance NOUN asir-4814 213 129 𝑏1 𝑏1 NOUN asir-4814 213 130 . . PUNCT asir-4814 214 1 the the DET asir-4814 214 2 total total ADJ asir-4814 214 3 change change NOUN asir-4814 214 4 in in ADP asir-4814 214 5 phase phase NOUN asir-4814 214 6 is be AUX asir-4814 214 7 equal equal ADJ asir-4814 214 8 to to ADP asir-4814 214 9 πœ“1 πœ“1 NOUN asir-4814 214 10 = = PUNCT asir-4814 214 11 βˆ’π‘˜π‘1 βˆ’π‘˜π‘1 PROPN asir-4814 214 12 βˆ™ βˆ™ PROPN asir-4814 214 13 1+sinπœƒ 1+sinπœƒ PROPN asir-4814 214 14 sinπœƒ sinπœƒ ADV asir-4814 214 15 . . PUNCT asir-4814 215 1 similarly similarly ADV asir-4814 215 2 , , PUNCT asir-4814 215 3 in in ADP asir-4814 215 4 the the DET asir-4814 215 5 case case NOUN asir-4814 215 6 of of ADP asir-4814 215 7 radiator radiator NOUN asir-4814 215 8 2 2 NUM asir-4814 215 9 , , PUNCT asir-4814 215 10 this this DET asir-4814 215 11 phase phase NOUN asir-4814 215 12 change change NOUN asir-4814 215 13 is be AUX asir-4814 215 14 equal equal ADJ asir-4814 215 15 to to ADP asir-4814 215 16 πœ“2 πœ“2 PROPN asir-4814 215 17 = = PUNCT asir-4814 215 18 βˆ’π‘˜π‘2 βˆ’π‘˜π‘2 PUNCT asir-4814 215 19 βˆ™ βˆ™ VERB asir-4814 215 20 sinπœƒβˆ’1 sinπœƒβˆ’1 VERB asir-4814 215 21 sinπœƒ sinπœƒ ADV asir-4814 215 22 . . PUNCT asir-4814 216 1 the the DET asir-4814 216 2 total total ADJ asir-4814 216 3 field field NOUN asir-4814 216 4 of of ADP asir-4814 216 5 the the DET asir-4814 216 6 antenna antenna NOUN asir-4814 216 7 structure structure NOUN asir-4814 216 8 shown show VERB asir-4814 216 9 in in ADP asir-4814 216 10 figure figure NOUN asir-4814 216 11 5 5 NUM asir-4814 216 12 with with ADP asir-4814 216 13 in in ADP asir-4814 216 14 - - PUNCT asir-4814 216 15 phase phase NOUN asir-4814 216 16 current current ADJ asir-4814 216 17 distribution distribution NOUN asir-4814 216 18 at at ADP asir-4814 216 19 angle angle NOUN asir-4814 216 20 πœƒ πœƒ X asir-4814 216 21 on on ADP asir-4814 216 22 the the DET asir-4814 216 23 base base NOUN asir-4814 216 24 of of ADP asir-4814 216 25 aforesaid aforesaid NOUN asir-4814 216 26 may may AUX asir-4814 216 27 be be AUX asir-4814 216 28 written write VERB asir-4814 216 29 in in ADP asir-4814 216 30 the the DET asir-4814 216 31 form form NOUN asir-4814 216 32 𝐸 𝐸 NOUN asir-4814 216 33 = = SYM asir-4814 216 34 𝐴𝐽(0 𝐴𝐽(0 PROPN asir-4814 216 35 ) ) PUNCT asir-4814 216 36 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN asir-4814 216 37 πœƒ πœƒ X asir-4814 216 38 π‘π‘œπ‘ 2 π‘π‘œπ‘ 2 PROPN asir-4814 216 39 πœƒ πœƒ X asir-4814 216 40 βˆ‘π‘’π‘– βˆ‘π‘’π‘– ADP asir-4814 216 41 { { PUNCT asir-4814 216 42 ( ( PUNCT asir-4814 216 43 1 1 NUM asir-4814 216 44 4𝑍𝑖𝑑 4𝑍𝑖𝑑 NUM asir-4814 216 45 + + CCONJ asir-4814 216 46 1 1 NUM asir-4814 216 47 2𝑍𝑖𝑙 2𝑍𝑖𝑙 NUM asir-4814 216 48 ) ) PUNCT asir-4814 217 1 [ [ X asir-4814 217 2 1 1 NUM asir-4814 217 3 βˆ’ βˆ’ NOUN asir-4814 217 4 π‘π‘œπ‘ (π‘˜πΏ0 π‘π‘œπ‘ (π‘˜πΏ0 NOUN asir-4814 217 5 π‘π‘œπ‘ βŸ¨πœƒ π‘π‘œπ‘ βŸ¨πœƒ PRON asir-4814 218 1 βˆ’ βˆ’ NOUN asir-4814 218 2 πœƒ0⟩ πœƒ0⟩ NOUN asir-4814 218 3 ) ) PUNCT asir-4814 218 4 ] ] PUNCT asir-4814 219 1 + + CCONJ asir-4814 219 2 2 2 X asir-4814 219 3 𝑖=1 𝑖=1 PUNCT asir-4814 219 4 + + PUNCT asir-4814 219 5 [ [ X asir-4814 219 6 1 1 NUM asir-4814 219 7 ( ( PUNCT asir-4814 219 8 4𝑍𝑖𝑑)⁄ 4𝑍𝑖𝑑)⁄ NUM asir-4814 219 9 βˆ’ βˆ’ NOUN asir-4814 219 10 1 1 NUM asir-4814 219 11 ( ( PUNCT asir-4814 219 12 2𝑍𝑖𝑖)⁄ 2𝑍𝑖𝑖)⁄ NUM asir-4814 219 13 ] ] PUNCT asir-4814 219 14 𝑒π‘₯𝑝(π‘—πœ“π‘–)[1 𝑒π‘₯𝑝(π‘—πœ“π‘–)[1 PROPN asir-4814 220 1 βˆ’ βˆ’ PROPN asir-4814 220 2 cos(π‘˜πΏπ‘™ cos(π‘˜πΏπ‘™ INTJ asir-4814 220 3 cos cos PROPN asir-4814 220 4 πœƒ πœƒ PROPN asir-4814 220 5 ) ) PUNCT asir-4814 220 6 ] ] PUNCT asir-4814 220 7 } } PUNCT asir-4814 220 8 . . PUNCT asir-4814 221 1 the the DET asir-4814 221 2 directivity directivity PROPN asir-4814 221 3 magnitude magnitude NOUN asir-4814 221 4 is be AUX asir-4814 221 5 determined determine VERB asir-4814 221 6 by by ADP asir-4814 221 7 the the DET asir-4814 221 8 expression expression NOUN asir-4814 221 9 where where SCONJ asir-4814 221 10 Ξ΄ Ξ΄ PROPN asir-4814 221 11 is be AUX asir-4814 221 12 the the DET asir-4814 221 13 interval interval NOUN asir-4814 221 14 between between ADP asir-4814 221 15 neighboring neighboring NOUN asir-4814 221 16 values value NOUN asir-4814 221 17 πœƒπ‘› πœƒπ‘› NOUN asir-4814 221 18 , , PUNCT asir-4814 221 19 n n X asir-4814 221 20 is be AUX asir-4814 221 21 the the DET asir-4814 221 22 number number NOUN asir-4814 221 23 of of ADP asir-4814 221 24 these these DET asir-4814 221 25 intervals interval NOUN asir-4814 221 26 between between ADP asir-4814 221 27 πœƒ πœƒ NOUN asir-4814 221 28 = = SYM asir-4814 221 29 0 0 NUM asir-4814 221 30 and and CCONJ asir-4814 221 31 πœƒ πœƒ X asir-4814 222 1 = = PUNCT asir-4814 222 2 πœ‹ πœ‹ ADP asir-4814 222 3 2⁄ 2⁄ NUM asir-4814 222 4 . . PUNCT asir-4814 223 1 the the DET asir-4814 223 2 results result NOUN asir-4814 223 3 of of ADP asir-4814 223 4 calculating calculate VERB asir-4814 223 5 directivity directivity NOUN asir-4814 223 6 of of ADP asir-4814 223 7 a a DET asir-4814 223 8 structure structure NOUN asir-4814 223 9 , , PUNCT asir-4814 223 10 shown show VERB asir-4814 223 11 in in ADP asir-4814 223 12 figure figure NOUN asir-4814 223 13 5 5 NUM asir-4814 223 14 , , PUNCT asir-4814 223 15 are be AUX asir-4814 223 16 given give VERB asir-4814 223 17 in in ADP asir-4814 223 18 figure figure NOUN asir-4814 223 19 6 6 NUM asir-4814 223 20 depending depend VERB asir-4814 223 21 on on ADP asir-4814 223 22 an an DET asir-4814 223 23 electrical electrical ADJ asir-4814 223 24 length length NOUN asir-4814 223 25 π‘˜πΏ0 π‘˜πΏ0 PROPN asir-4814 223 26 of of ADP asir-4814 223 27 the the DET asir-4814 223 28 active active ADJ asir-4814 223 29 radiator radiator NOUN asir-4814 223 30 arm arm NOUN asir-4814 223 31 . . PUNCT asir-4814 224 1 the the DET asir-4814 224 2 curve curve NOUN asir-4814 224 3 1 1 NUM asir-4814 224 4 demonstrates demonstrate VERB asir-4814 224 5 the the DET asir-4814 224 6 directivity directivity NOUN asir-4814 224 7 of of ADP asir-4814 224 8 the the DET asir-4814 224 9 structure structure NOUN asir-4814 224 10 with with ADP asir-4814 224 11 in in ADP asir-4814 224 12 - - PUNCT asir-4814 224 13 phase phase NOUN asir-4814 224 14 currents current NOUN asir-4814 224 15 in in ADP asir-4814 224 16 each each DET asir-4814 224 17 element element NOUN asir-4814 224 18 . . PUNCT asir-4814 225 1 the the DET asir-4814 225 2 directivity directivity NOUN asir-4814 225 3 of of ADP asir-4814 225 4 the the DET asir-4814 225 5 structure structure NOUN asir-4814 225 6 with with ADP asir-4814 225 7 sinusoidal sinusoidal ADJ asir-4814 225 8 currents current NOUN asir-4814 225 9 is be AUX asir-4814 225 10 given give VERB asir-4814 225 11 for for ADP asir-4814 225 12 comparison comparison NOUN asir-4814 225 13 by by ADP asir-4814 225 14 the the DET asir-4814 225 15 curve curve NOUN asir-4814 225 16 2 2 NUM asir-4814 225 17 . . PUNCT asir-4814 225 18 radiators radiator NOUN asir-4814 225 19 with with ADP asir-4814 225 20 concentrated concentrated ADJ asir-4814 225 21 capacitances capacitance NOUN asir-4814 225 22 distributed distribute VERB asir-4814 225 23 in in ADP asir-4814 225 24 accordance accordance NOUN asir-4814 225 25 with with ADP asir-4814 225 26 linear linear ADJ asir-4814 225 27 or or CCONJ asir-4814 225 28 exponential exponential ADJ asir-4814 225 29 law law NOUN asir-4814 225 30 along along ADP asir-4814 225 31 each each DET asir-4814 225 32 arm arm NOUN asir-4814 225 33 allow allow VERB asir-4814 225 34 to to PART asir-4814 225 35 ensure ensure VERB asir-4814 225 36 a a DET asir-4814 225 37 high high ADJ asir-4814 225 38 level level NOUN asir-4814 225 39 of of ADP asir-4814 225 40 matching match VERB asir-4814 225 41 with with ADP asir-4814 225 42 a a DET asir-4814 225 43 cable cable NOUN asir-4814 225 44 in in ADP asir-4814 225 45 the the DET asir-4814 225 46 range range NOUN asir-4814 225 47 with with ADP asir-4814 225 48 a a DET asir-4814 225 49 frequency frequency NOUN asir-4814 225 50 ratio ratio NOUN asir-4814 225 51 of of ADP asir-4814 225 52 the the DET asir-4814 225 53 order order NOUN asir-4814 225 54 10 10 NUM asir-4814 225 55 . . PUNCT asir-4814 226 1 therefore therefore ADV asir-4814 226 2 , , PUNCT asir-4814 226 3 graphics graphic NOUN asir-4814 226 4 are be AUX asir-4814 226 5 made make VERB asir-4814 226 6 so so SCONJ asir-4814 226 7 that that PRON asir-4814 226 8 to to PART asir-4814 226 9 show show VERB asir-4814 226 10 the the DET asir-4814 226 11 structure structure NOUN asir-4814 226 12 directivity directivity NOUN asir-4814 226 13 in in ADP asir-4814 226 14 the the DET asir-4814 226 15 range range NOUN asir-4814 226 16 from from ADP asir-4814 226 17 π‘˜πΏ0 π‘˜πΏ0 PROPN asir-4814 226 18 = = PUNCT asir-4814 226 19 πœ‹ πœ‹ NOUN asir-4814 226 20 to to ADP asir-4814 226 21 π‘˜πΏ0 π‘˜πΏ0 PROPN asir-4814 226 22 = = SYM asir-4814 226 23 10πœ‹. 10πœ‹. NUM asir-4814 226 24 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 226 25 applied apply VERB asir-4814 226 26 science science NOUN asir-4814 226 27 and and CCONJ asir-4814 226 28 innovative innovative ADJ asir-4814 226 29 research research NOUN asir-4814 226 30 vol vol NOUN asir-4814 226 31 . . PROPN asir-4814 227 1 6 6 NUM asir-4814 227 2 , , PUNCT asir-4814 227 3 no no INTJ asir-4814 227 4 . . NOUN asir-4814 227 5 2 2 NUM asir-4814 227 6 , , PUNCT asir-4814 227 7 2022 2022 NUM asir-4814 227 8 82 82 NUM asir-4814 227 9 published publish VERB asir-4814 227 10 by by ADP asir-4814 227 11 scholink scholink PROPN asir-4814 227 12 inc inc PROPN asir-4814 227 13 . . PROPN asir-4814 227 14 figure figure NOUN asir-4814 227 15 6 6 NUM asir-4814 227 16 . . PUNCT asir-4814 228 1 directivity directivity NOUN asir-4814 228 2 of of ADP asir-4814 228 3 antennas antenna NOUN asir-4814 228 4 of of ADP asir-4814 228 5 three three NUM asir-4814 228 6 radiators radiator NOUN asir-4814 228 7 radiation radiation NOUN asir-4814 228 8 of of ADP asir-4814 228 9 neighboring neighboring NOUN asir-4814 228 10 elements element NOUN asir-4814 228 11 of of ADP asir-4814 228 12 log log NOUN asir-4814 228 13 - - PUNCT asir-4814 228 14 periodic periodic NOUN asir-4814 228 15 antenna antenna NOUN asir-4814 228 16 with with ADP asir-4814 228 17 the the DET asir-4814 228 18 arm arm NOUN asir-4814 228 19 length length NOUN asir-4814 228 20 0.27 0.27 NUM asir-4814 228 21 m m NOUN asir-4814 228 22 and and CCONJ asir-4814 228 23 0.333 0.333 NUM asir-4814 228 24 m m NOUN asir-4814 228 25 respectively respectively ADV asir-4814 228 26 requires require VERB asir-4814 228 27 calculating calculate VERB asir-4814 228 28 fields field NOUN asir-4814 228 29 in in ADP asir-4814 228 30 the the DET asir-4814 228 31 structures structure NOUN asir-4814 228 32 presented present VERB asir-4814 228 33 in in ADP asir-4814 228 34 figures figure NOUN asir-4814 228 35 7a 7a NOUN asir-4814 228 36 and and CCONJ asir-4814 228 37 7b 7b NOUN asir-4814 228 38 . . PUNCT asir-4814 229 1 results result NOUN asir-4814 229 2 of of ADP asir-4814 229 3 these these DET asir-4814 229 4 calculations calculation NOUN asir-4814 229 5 are be AUX asir-4814 229 6 given give VERB asir-4814 229 7 in in ADP asir-4814 229 8 figure figure NOUN asir-4814 229 9 6 6 NUM asir-4814 229 10 : : PUNCT asir-4814 229 11 curve curve VERB asir-4814 229 12 3 3 NUM asir-4814 229 13 corresponds correspond NOUN asir-4814 229 14 to to PART asir-4814 229 15 figure figure VERB asir-4814 229 16 7a 7a NUM asir-4814 229 17 , , PUNCT asir-4814 229 18 curve curve VERB asir-4814 229 19 4 4 NUM asir-4814 229 20 to to PART asir-4814 229 21 figure figure VERB asir-4814 229 22 7b 7b NOUN asir-4814 229 23 . . PUNCT asir-4814 230 1 the the DET asir-4814 230 2 directivity directivity NOUN asir-4814 230 3 magnitudes magnitude VERB asir-4814 230 4 in in ADP asir-4814 230 5 figure figure NOUN asir-4814 230 6 6 6 NUM asir-4814 230 7 for for ADP asir-4814 230 8 specific specific ADJ asir-4814 230 9 values value NOUN asir-4814 230 10 π‘˜πΏ π‘˜πΏ NOUN asir-4814 230 11 correspond correspond VERB asir-4814 230 12 to to ADP asir-4814 230 13 the the DET asir-4814 230 14 same same ADJ asir-4814 230 15 frequencies frequency NOUN asir-4814 230 16 , , PUNCT asir-4814 230 17 i.e. i.e. X asir-4814 230 18 , , PUNCT asir-4814 230 19 the the DET asir-4814 230 20 same same ADJ asir-4814 230 21 values value NOUN asir-4814 230 22 π‘˜πΏ π‘˜πΏ NOUN asir-4814 230 23 correspond correspond VERB asir-4814 230 24 to to ADP asir-4814 230 25 the the DET asir-4814 230 26 elements element NOUN asir-4814 230 27 of of ADP asir-4814 230 28 equal equal ADJ asir-4814 230 29 length length NOUN asir-4814 230 30 in in ADP asir-4814 230 31 the the DET asir-4814 230 32 all all DET asir-4814 230 33 three three NUM asir-4814 230 34 circuits circuit NOUN asir-4814 230 35 ( ( PUNCT asir-4814 230 36 for for ADP asir-4814 230 37 example example NOUN asir-4814 230 38 , , PUNCT asir-4814 230 39 to to ADP asir-4814 230 40 the the DET asir-4814 230 41 elements element NOUN asir-4814 230 42 with with ADP asir-4814 230 43 the the DET asir-4814 230 44 arm arm NOUN asir-4814 230 45 length length NOUN asir-4814 230 46 0.3 0.3 NUM asir-4814 230 47 m m NOUN asir-4814 230 48 ) ) PUNCT asir-4814 230 49 . . PUNCT asir-4814 231 1 the the DET asir-4814 231 2 figure figure NOUN asir-4814 231 3 shows show VERB asir-4814 231 4 that that SCONJ asir-4814 231 5 the the DET asir-4814 231 6 directivity directivity NOUN asir-4814 231 7 magnitudes magnitude VERB asir-4814 231 8 at at ADP asir-4814 231 9 the the DET asir-4814 231 10 same same ADJ asir-4814 231 11 π‘˜πΏ π‘˜πΏ NOUN asir-4814 231 12 are be AUX asir-4814 231 13 close close ADJ asir-4814 231 14 to to ADP asir-4814 231 15 each each DET asir-4814 231 16 other other ADJ asir-4814 231 17 . . PUNCT asir-4814 232 1 this this PRON asir-4814 232 2 is be AUX asir-4814 232 3 natural natural ADJ asir-4814 232 4 , , PUNCT asir-4814 232 5 since since SCONJ asir-4814 232 6 the the DET asir-4814 232 7 directivity directivity NOUN asir-4814 232 8 in in ADP asir-4814 232 9 each each DET asir-4814 232 10 scheme scheme NOUN asir-4814 232 11 increases increase NOUN asir-4814 232 12 slowly slowly ADV asir-4814 232 13 with with ADP asir-4814 232 14 increasing increase VERB asir-4814 232 15 frequency frequency NOUN asir-4814 232 16 . . PUNCT asir-4814 233 1 small small ADJ asir-4814 233 2 increasing increase VERB asir-4814 233 3 the the DET asir-4814 233 4 active active ADJ asir-4814 233 5 radiator radiator NOUN asir-4814 233 6 length length NOUN asir-4814 233 7 causes cause VERB asir-4814 233 8 at at ADP asir-4814 233 9 the the DET asir-4814 233 10 same same ADJ asir-4814 233 11 π‘˜πΏ π‘˜πΏ NOUN asir-4814 233 12 the the DET asir-4814 233 13 small small ADJ asir-4814 233 14 increase increase NOUN asir-4814 233 15 of of ADP asir-4814 233 16 the the DET asir-4814 233 17 resonant resonant ADJ asir-4814 233 18 wavelength wavelength NOUN asir-4814 233 19 , , PUNCT asir-4814 233 20 i.e. i.e. X asir-4814 233 21 , , PUNCT asir-4814 233 22 the the DET asir-4814 233 23 small small ADJ asir-4814 233 24 decrease decrease NOUN asir-4814 233 25 of of ADP asir-4814 233 26 the the DET asir-4814 233 27 resonance resonance NOUN asir-4814 233 28 frequency frequency NOUN asir-4814 233 29 and and CCONJ asir-4814 233 30 the the DET asir-4814 233 31 directivity directivity NOUN asir-4814 233 32 . . PUNCT asir-4814 234 1 figure figure NOUN asir-4814 234 2 7 7 NUM asir-4814 234 3 . . PUNCT asir-4814 234 4 structures structure NOUN asir-4814 234 5 of of ADP asir-4814 234 6 smaller small ADJ asir-4814 234 7 ( ( PUNCT asir-4814 234 8 a a NOUN asir-4814 234 9 ) ) PUNCT asir-4814 234 10 and and CCONJ asir-4814 234 11 greater great ADJ asir-4814 234 12 ( ( PUNCT asir-4814 234 13 b b NOUN asir-4814 234 14 ) ) PUNCT asir-4814 234 15 neighboring neighboring NOUN asir-4814 234 16 radiators radiator NOUN asir-4814 234 17 the the DET asir-4814 234 18 obtained obtain VERB asir-4814 234 19 results result NOUN asir-4814 234 20 show show VERB asir-4814 234 21 that that SCONJ asir-4814 234 22 each each DET asir-4814 234 23 active active ADJ asir-4814 234 24 radiator radiator NOUN asir-4814 234 25 with with ADP asir-4814 234 26 in in ADP asir-4814 234 27 - - PUNCT asir-4814 234 28 phase phase NOUN asir-4814 234 29 current current NOUN asir-4814 234 30 , , PUNCT asir-4814 234 31 included include VERB asir-4814 234 32 in in ADP asir-4814 234 33 the the DET asir-4814 234 34 structure structure NOUN asir-4814 234 35 of of ADP asir-4814 234 36 the the DET asir-4814 234 37 log log NOUN asir-4814 234 38 - - PUNCT asir-4814 234 39 periodic periodic NOUN asir-4814 234 40 antenna antenna NOUN asir-4814 234 41 , , PUNCT asir-4814 234 42 provides provide VERB asir-4814 234 43 high high ADJ asir-4814 234 44 radiation radiation NOUN asir-4814 234 45 directivity directivity NOUN asir-4814 234 46 in in ADP asir-4814 234 47 a a DET asir-4814 234 48 wide wide ADJ asir-4814 234 49 frequency frequency NOUN asir-4814 234 50 range range NOUN asir-4814 234 51 . . PUNCT asir-4814 235 1 neighboring neighboring NOUN asir-4814 235 2 radiators radiator NOUN asir-4814 235 3 have have VERB asir-4814 235 4 similar similar ADJ asir-4814 235 5 directivity directivity NOUN asir-4814 235 6 magnitude magnitude NOUN asir-4814 235 7 . . PUNCT asir-4814 236 1 the the DET asir-4814 236 2 direction direction NOUN asir-4814 236 3 of of ADP asir-4814 236 4 the the DET asir-4814 236 5 radiation radiation NOUN asir-4814 236 6 is be AUX asir-4814 236 7 the the DET asir-4814 236 8 same same ADJ asir-4814 236 9 . . PUNCT asir-4814 237 1 a a DET asir-4814 237 2 signal signal NOUN asir-4814 237 3 propagates propagate VERB asir-4814 237 4 along along ADP asir-4814 237 5 the the DET asir-4814 237 6 distribution distribution NOUN asir-4814 237 7 line line NOUN asir-4814 237 8 from from ADP asir-4814 237 9 short short ADJ asir-4814 237 10 elements element NOUN asir-4814 237 11 to to ADP asir-4814 237 12 the the DET asir-4814 237 13 long long ADJ asir-4814 237 14 dipoles dipole NOUN asir-4814 237 15 ( ( PUNCT asir-4814 237 16 in in ADP asir-4814 237 17 figures figure NOUN asir-4814 237 18 5 5 NUM asir-4814 237 19 and and CCONJ asir-4814 237 20 7 7 NUM asir-4814 237 21 to to ADP asir-4814 237 22 the the DET asir-4814 237 23 left left NOUN asir-4814 237 24 ) ) PUNCT asir-4814 237 25 , , PUNCT asir-4814 237 26 the the DET asir-4814 237 27 radiated radiate VERB asir-4814 237 28 signal signal NOUN asir-4814 237 29 propagates propagate VERB asir-4814 237 30 in in ADP asir-4814 237 31 the the DET asir-4814 237 32 opposite opposite ADJ asir-4814 237 33 direction direction NOUN asir-4814 237 34 . . PUNCT asir-4814 238 1 the the DET asir-4814 238 2 total total ADJ asir-4814 238 3 path path NOUN asir-4814 238 4 difference difference NOUN asir-4814 238 5 is be AUX asir-4814 238 6 quite quite ADV asir-4814 238 7 large large ADJ asir-4814 238 8 . . PUNCT asir-4814 239 1 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4814 239 2 applied apply VERB asir-4814 239 3 science science NOUN asir-4814 239 4 and and CCONJ asir-4814 239 5 innovative innovative ADJ asir-4814 239 6 research research NOUN asir-4814 239 7 vol vol NOUN asir-4814 239 8 . . PROPN asir-4814 240 1 6 6 NUM asir-4814 240 2 , , PUNCT asir-4814 240 3 no no INTJ asir-4814 240 4 . . NOUN asir-4814 240 5 2 2 NUM asir-4814 240 6 , , PUNCT asir-4814 240 7 2022 2022 NUM asir-4814 240 8 83 83 NUM asir-4814 240 9 published publish VERB asir-4814 240 10 by by ADP asir-4814 240 11 scholink scholink PROPN asir-4814 240 12 inc inc PROPN asir-4814 240 13 . . PROPN asir-4814 241 1 for for ADP asir-4814 241 2 example example NOUN asir-4814 241 3 , , PUNCT asir-4814 241 4 for for ADP asir-4814 241 5 the the DET asir-4814 241 6 signal signal NOUN asir-4814 241 7 radiated radiate VERB asir-4814 241 8 by by ADP asir-4814 241 9 a a DET asir-4814 241 10 half half ADJ asir-4814 241 11 - - PUNCT asir-4814 241 12 wave wave NOUN asir-4814 241 13 neighboring neighboring NOUN asir-4814 241 14 radiator radiator NOUN asir-4814 241 15 it it PRON asir-4814 241 16 is be AUX asir-4814 241 17 equal equal ADJ asir-4814 241 18 to to ADP asir-4814 241 19 0.38πœ† 0.38πœ† NUM asir-4814 241 20 , , PUNCT asir-4814 241 21 i.e. i.e. X asir-4814 241 22 , , PUNCT asir-4814 241 23 it it PRON asir-4814 241 24 is be AUX asir-4814 241 25 close close ADJ asir-4814 241 26 to to ADP asir-4814 241 27 a a DET asir-4814 241 28 half half ADJ asir-4814 241 29 wavelength wavelength NOUN asir-4814 241 30 . . PUNCT asir-4814 242 1 crossing cross VERB asir-4814 242 2 wires wire NOUN asir-4814 242 3 of of ADP asir-4814 242 4 the the DET asir-4814 242 5 distribution distribution NOUN asir-4814 242 6 line line NOUN asir-4814 242 7 in in ADP asir-4814 242 8 an an DET asir-4814 242 9 interval interval NOUN asir-4814 242 10 between between ADP asir-4814 242 11 the the DET asir-4814 242 12 elements element NOUN asir-4814 242 13 permits permit VERB asir-4814 242 14 to to PART asir-4814 242 15 reduce reduce VERB asir-4814 242 16 dramatically dramatically ADV asir-4814 242 17 this this DET asir-4814 242 18 path path NOUN asir-4814 242 19 difference difference NOUN asir-4814 242 20 . . PUNCT asir-4814 243 1 summarize summarize VERB asir-4814 243 2 the the DET asir-4814 243 3 analysis analysis NOUN asir-4814 243 4 of of ADP asir-4814 243 5 the the DET asir-4814 243 6 log log NOUN asir-4814 243 7 - - PUNCT asir-4814 243 8 periodic periodic NOUN asir-4814 243 9 antenna antenna NOUN asir-4814 243 10 . . PUNCT asir-4814 244 1 known know VERB asir-4814 244 2 log log NOUN asir-4814 244 3 - - PUNCT asir-4814 244 4 periodic periodic NOUN asir-4814 244 5 antenna antenna NOUN asir-4814 244 6 with with ADP asir-4814 244 7 sinusoidal sinusoidal ADJ asir-4814 244 8 current current ADJ asir-4814 244 9 distribution distribution NOUN asir-4814 244 10 along along ADP asir-4814 244 11 the the DET asir-4814 244 12 radiators radiator NOUN asir-4814 244 13 have have VERB asir-4814 244 14 a a DET asir-4814 244 15 property property NOUN asir-4814 244 16 of of ADP asir-4814 244 17 automatic automatic ADJ asir-4814 244 18 currents current NOUN asir-4814 244 19 β€œ " PUNCT asir-4814 244 20 cut cut VERB asir-4814 244 21 - - PUNCT asir-4814 244 22 off off NOUN asir-4814 244 23 ” " PUNCT asir-4814 244 24 , , PUNCT asir-4814 244 25 i.e. i.e. X asir-4814 244 26 , , PUNCT asir-4814 244 27 a a DET asir-4814 244 28 separate separate ADJ asir-4814 244 29 antenna antenna NOUN asir-4814 244 30 segment segment NOUN asir-4814 244 31 ( ( PUNCT asir-4814 244 32 active active ADJ asir-4814 244 33 region region NOUN asir-4814 244 34 ) ) PUNCT asir-4814 244 35 radiates radiate VERB asir-4814 244 36 a a DET asir-4814 244 37 signal signal NOUN asir-4814 244 38 in in ADP asir-4814 244 39 a a DET asir-4814 244 40 narrow narrow ADJ asir-4814 244 41 frequency frequency NOUN asir-4814 244 42 band band NOUN asir-4814 244 43 . . PUNCT asir-4814 245 1 outside outside ADP asir-4814 245 2 this this DET asir-4814 245 3 band band NOUN asir-4814 245 4 and and CCONJ asir-4814 245 5 outside outside ADP asir-4814 245 6 the the DET asir-4814 245 7 borders border NOUN asir-4814 245 8 of of ADP asir-4814 245 9 the the DET asir-4814 245 10 active active ADJ asir-4814 245 11 region region NOUN asir-4814 245 12 the the DET asir-4814 245 13 signal signal NOUN asir-4814 245 14 decays decay VERB asir-4814 245 15 rapidly rapidly ADV asir-4814 245 16 . . PUNCT asir-4814 246 1 wide wide ADJ asir-4814 246 2 frequency frequency NOUN asir-4814 246 3 range range NOUN asir-4814 246 4 is be AUX asir-4814 246 5 provided provide VERB asir-4814 246 6 by by ADP asir-4814 246 7 a a DET asir-4814 246 8 large large ADJ asir-4814 246 9 antenna antenna NOUN asir-4814 246 10 length length NOUN asir-4814 246 11 , , PUNCT asir-4814 246 12 which which PRON asir-4814 246 13 is be AUX asir-4814 246 14 equal equal ADJ asir-4814 246 15 to to ADP asir-4814 246 16 the the DET asir-4814 246 17 sum sum NOUN asir-4814 246 18 of of ADP asir-4814 246 19 the the DET asir-4814 246 20 lengths length NOUN asir-4814 246 21 of of ADP asir-4814 246 22 the the DET asir-4814 246 23 active active ADJ asir-4814 246 24 regions region NOUN asir-4814 246 25 . . PUNCT asir-4814 247 1 attempts attempt NOUN asir-4814 247 2 to to PART asir-4814 247 3 reduce reduce VERB asir-4814 247 4 the the DET asir-4814 247 5 antenna antenna NOUN asir-4814 247 6 length length NOUN asir-4814 247 7 by by ADP asir-4814 247 8 disturbing disturb VERB asir-4814 247 9 a a DET asir-4814 247 10 geometric geometric ADJ asir-4814 247 11 progression progression NOUN asir-4814 247 12 and and CCONJ asir-4814 247 13 increasing increase VERB asir-4814 247 14 a a DET asir-4814 247 15 radiators radiators ADJ asir-4814 247 16 number number NOUN asir-4814 247 17 lead lead NOUN asir-4814 247 18 to to ADP asir-4814 247 19 a a DET asir-4814 247 20 small small ADJ asir-4814 247 21 decrease decrease NOUN asir-4814 247 22 of of ADP asir-4814 247 23 dimensions dimension NOUN asir-4814 247 24 and and CCONJ asir-4814 247 25 a a DET asir-4814 247 26 sharp sharp ADJ asir-4814 247 27 deterioration deterioration NOUN asir-4814 247 28 of of ADP asir-4814 247 29 electrical electrical ADJ asir-4814 247 30 characteristics characteristic NOUN asir-4814 247 31 . . PUNCT asir-4814 248 1 the the DET asir-4814 248 2 more more ADV asir-4814 248 3 effective effective ADJ asir-4814 248 4 methods method NOUN asir-4814 248 5 are be AUX asir-4814 248 6 firstly firstly ADV asir-4814 248 7 a a DET asir-4814 248 8 two two NUM asir-4814 248 9 - - ADJ asir-4814 248 10 fold fold ADJ asir-4814 248 11 use use NOUN asir-4814 248 12 of of ADP asir-4814 248 13 each each DET asir-4814 248 14 active active ADJ asir-4814 248 15 region region NOUN asir-4814 248 16 by by ADP asir-4814 248 17 an an DET asir-4814 248 18 application application NOUN asir-4814 248 19 of of ADP asir-4814 248 20 linear linear ADJ asir-4814 248 21 - - PUNCT asir-4814 248 22 spiral spiral ADJ asir-4814 248 23 radiators radiator NOUN asir-4814 248 24 and and CCONJ asir-4814 248 25 secondly secondly ADV asir-4814 248 26 an an DET asir-4814 248 27 employment employment NOUN asir-4814 248 28 of of ADP asir-4814 248 29 an an DET asir-4814 248 30 asymmetrical asymmetrical ADJ asir-4814 248 31 log log NOUN asir-4814 248 32 - - PUNCT asir-4814 248 33 periodic periodic NOUN asir-4814 248 34 antenna antenna NOUN asir-4814 248 35 with with ADP asir-4814 248 36 coaxial coaxial ADJ asir-4814 248 37 distribution distribution NOUN asir-4814 248 38 line line NOUN asir-4814 248 39 ( ( PUNCT asir-4814 248 40 yakovlev yakovlev PROPN asir-4814 248 41 & & CCONJ asir-4814 248 42 pyatnenkov pyatnenkov PROPN asir-4814 248 43 , , PUNCT asir-4814 248 44 2007 2007 NUM asir-4814 248 45 ) ) PUNCT asir-4814 248 46 . . PUNCT asir-4814 249 1 this this PRON asir-4814 249 2 allows allow VERB asir-4814 249 3 to to PART asir-4814 249 4 decrease decrease VERB asir-4814 249 5 the the DET asir-4814 249 6 antenna antenna NOUN asir-4814 249 7 length length NOUN asir-4814 249 8 by by ADP asir-4814 249 9 25 25 NUM asir-4814 249 10 - - SYM asir-4814 249 11 30 30 NUM asir-4814 249 12 % % NOUN asir-4814 249 13 . . PUNCT asir-4814 250 1 replacement replacement NOUN asir-4814 250 2 of of ADP asir-4814 250 3 the the DET asir-4814 250 4 straight straight ADJ asir-4814 250 5 metal metal NOUN asir-4814 250 6 radiators radiator NOUN asir-4814 250 7 by by ADP asir-4814 250 8 the the DET asir-4814 250 9 radiators radiator NOUN asir-4814 250 10 with with ADP asir-4814 250 11 concentrated concentrated ADJ asir-4814 250 12 capacitive capacitive ADJ asir-4814 250 13 loads load NOUN asir-4814 250 14 provides provide VERB asir-4814 250 15 reusable reusable ADJ asir-4814 250 16 active active ADJ asir-4814 250 17 area area NOUN asir-4814 250 18 and and CCONJ asir-4814 250 19 allows allow VERB asir-4814 250 20 us we PRON asir-4814 250 21 to to PART asir-4814 250 22 obtain obtain VERB asir-4814 250 23 a a DET asir-4814 250 24 high high ADJ asir-4814 250 25 directivity directivity NOUN asir-4814 250 26 in in ADP asir-4814 250 27 a a DET asir-4814 250 28 wide wide ADJ asir-4814 250 29 frequency frequency NOUN asir-4814 250 30 range range NOUN asir-4814 250 31 , , PUNCT asir-4814 250 32 using use VERB asir-4814 250 33 a a DET asir-4814 250 34 simple simple ADJ asir-4814 250 35 structure structure NOUN asir-4814 250 36 with with ADP asir-4814 250 37 three three NUM asir-4814 250 38 radiators radiator NOUN asir-4814 250 39 . . PUNCT asir-4814 251 1 results result NOUN asir-4814 251 2 obtained obtain VERB asir-4814 251 3 with with ADP asir-4814 251 4 the the DET asir-4814 251 5 help help NOUN asir-4814 251 6 of of ADP asir-4814 251 7 the the DET asir-4814 251 8 method method NOUN asir-4814 251 9 of of ADP asir-4814 251 10 electrostatic electrostatic ADJ asir-4814 251 11 analogy analogy NOUN asir-4814 251 12 may may AUX asir-4814 251 13 be be AUX asir-4814 251 14 used use VERB asir-4814 251 15 for for ADP asir-4814 251 16 solving solve VERB asir-4814 251 17 optimization optimization NOUN asir-4814 251 18 problem problem NOUN asir-4814 251 19 by by ADP asir-4814 251 20 methods method NOUN asir-4814 251 21 of of ADP asir-4814 251 22 mathematical mathematical ADJ asir-4814 251 23 programming programming NOUN asir-4814 251 24 . . PUNCT asir-4814 252 1 increasing increase VERB asir-4814 252 2 the the DET asir-4814 252 3 radiators radiators ADJ asir-4814 252 4 number number NOUN asir-4814 252 5 in in ADP asir-4814 252 6 the the DET asir-4814 252 7 structure structure NOUN asir-4814 252 8 may may AUX asir-4814 252 9 allow allow VERB asir-4814 252 10 dramatically dramatically ADV asir-4814 252 11 increasing increase VERB asir-4814 252 12 its its PRON asir-4814 252 13 directivity directivity NOUN asir-4814 252 14 . . PUNCT asir-4814 253 1 5 5 NUM asir-4814 253 2 . . X asir-4814 253 3 conclusions conclusion NOUN asir-4814 253 4 in in ADP asir-4814 253 5 this this DET asir-4814 253 6 work work NOUN asir-4814 253 7 the the DET asir-4814 253 8 following following ADJ asir-4814 253 9 results result NOUN asir-4814 253 10 are be AUX asir-4814 253 11 obtained obtain VERB asir-4814 253 12 . . PUNCT asir-4814 254 1 a a DET asir-4814 254 2 simple simple ADJ asir-4814 254 3 and and CCONJ asir-4814 254 4 effective effective ADJ asir-4814 254 5 procedure procedure NOUN asir-4814 254 6 , , PUNCT asir-4814 254 7 based base VERB asir-4814 254 8 on on ADP asir-4814 254 9 the the DET asir-4814 254 10 method method NOUN asir-4814 254 11 of of ADP asir-4814 254 12 electrostatic electrostatic ADJ asir-4814 254 13 analogy analogy NOUN asir-4814 254 14 , , PUNCT asir-4814 254 15 in in ADP asir-4814 254 16 accord accord NOUN asir-4814 254 17 with with ADP asir-4814 254 18 which which PRON asir-4814 254 19 it it PRON asir-4814 254 20 is be AUX asir-4814 254 21 assumed assume VERB asir-4814 254 22 that that SCONJ asir-4814 254 23 the the DET asir-4814 254 24 ratio ratio NOUN asir-4814 254 25 of of ADP asir-4814 254 26 emf emf NOUN asir-4814 254 27 in in ADP asir-4814 254 28 the the DET asir-4814 254 29 radiator radiator NOUN asir-4814 254 30 centers center NOUN asir-4814 254 31 is be AUX asir-4814 254 32 equal equal ADJ asir-4814 254 33 to to ADP asir-4814 254 34 the the DET asir-4814 254 35 ratio ratio NOUN asir-4814 254 36 of of ADP asir-4814 254 37 the the DET asir-4814 254 38 charges charge NOUN asir-4814 254 39 placed place VERB asir-4814 254 40 on on ADP asir-4814 254 41 the the DET asir-4814 254 42 conductors conductor NOUN asir-4814 254 43 , , PUNCT asir-4814 254 44 is be AUX asir-4814 254 45 used use VERB asir-4814 254 46 for for ADP asir-4814 254 47 calculating calculate VERB asir-4814 254 48 directional directional ADJ asir-4814 254 49 characteristics characteristic NOUN asir-4814 254 50 of of ADP asir-4814 254 51 log log NOUN asir-4814 254 52 - - PUNCT asir-4814 254 53 periodic periodic NOUN asir-4814 254 54 antennas antenna NOUN asir-4814 254 55 . . PUNCT asir-4814 255 1 with with ADP asir-4814 255 2 the the DET asir-4814 255 3 help help NOUN asir-4814 255 4 of of ADP asir-4814 255 5 this this DET asir-4814 255 6 procedure procedure NOUN asir-4814 255 7 the the DET asir-4814 255 8 directional directional ADJ asir-4814 255 9 characteristics characteristic NOUN asir-4814 255 10 of of ADP asir-4814 255 11 log log NOUN asir-4814 255 12 - - PUNCT asir-4814 255 13 periodic periodic NOUN asir-4814 255 14 antennas antenna NOUN asir-4814 255 15 with with ADP asir-4814 255 16 sinusoidal sinusoidal NOUN asir-4814 255 17 and and CCONJ asir-4814 255 18 in in ADP asir-4814 255 19 - - PUNCT asir-4814 255 20 phase phase NOUN asir-4814 255 21 current current ADJ asir-4814 255 22 distribution distribution NOUN asir-4814 255 23 in in ADP asir-4814 255 24 linear linear ADJ asir-4814 255 25 radiators radiator NOUN asir-4814 255 26 are be AUX asir-4814 255 27 compared compare VERB asir-4814 255 28 . . PUNCT asir-4814 256 1 it it PRON asir-4814 256 2 is be AUX asir-4814 256 3 shown show VERB asir-4814 256 4 that that SCONJ asir-4814 256 5 replacement replacement NOUN asir-4814 256 6 of of ADP asir-4814 256 7 the the DET asir-4814 256 8 straight straight ADJ asir-4814 256 9 metal metal NOUN asir-4814 256 10 radiators radiator NOUN asir-4814 256 11 by by ADP asir-4814 256 12 the the DET asir-4814 256 13 radiators radiator NOUN asir-4814 256 14 with with ADP asir-4814 256 15 concentrated concentrated ADJ asir-4814 256 16 capacitive capacitive ADJ asir-4814 256 17 loads load NOUN asir-4814 256 18 allows allow VERB asir-4814 256 19 to to PART asir-4814 256 20 provide provide VERB asir-4814 256 21 , , PUNCT asir-4814 256 22 when when SCONJ asir-4814 256 23 only only ADV asir-4814 256 24 three three NUM asir-4814 256 25 radiators radiator NOUN asir-4814 256 26 are be AUX asir-4814 256 27 used use VERB asir-4814 256 28 , , PUNCT asir-4814 256 29 the the DET asir-4814 256 30 high high ADJ asir-4814 256 31 directivity directivity NOUN asir-4814 256 32 in in ADP asir-4814 256 33 a a DET asir-4814 256 34 wide wide ADJ asir-4814 256 35 frequency frequency NOUN asir-4814 256 36 range range NOUN asir-4814 256 37 , , PUNCT asir-4814 256 38 i.e. i.e. X asir-4814 256 39 , , PUNCT asir-4814 256 40 decrease decrease VERB asir-4814 256 41 sharply sharply ADV asir-4814 256 42 the the DET asir-4814 256 43 antenna antenna NOUN asir-4814 256 44 length length NOUN asir-4814 256 45 . . PUNCT asir-4814 257 1 increasing increase VERB asir-4814 257 2 the the DET asir-4814 257 3 number number NOUN asir-4814 257 4 of of ADP asir-4814 257 5 radiators radiator NOUN asir-4814 257 6 allows allow VERB asir-4814 257 7 to to PART asir-4814 257 8 increase increase VERB asir-4814 257 9 substantially substantially ADV asir-4814 257 10 the the DET asir-4814 257 11 antenna antenna NOUN asir-4814 257 12 directivity directivity PROPN asir-4814 257 13 . . PUNCT asir-4814 258 1 results result NOUN asir-4814 258 2 obtained obtain VERB asir-4814 258 3 with with ADP asir-4814 258 4 the the DET asir-4814 258 5 help help NOUN asir-4814 258 6 of of ADP asir-4814 258 7 the the DET asir-4814 258 8 method method NOUN asir-4814 258 9 of of ADP asir-4814 258 10 electrostatic electrostatic ADJ asir-4814 258 11 analogy analogy NOUN asir-4814 258 12 may may AUX asir-4814 258 13 be be AUX asir-4814 258 14 used use VERB asir-4814 258 15 for for ADP asir-4814 258 16 solving solve VERB asir-4814 258 17 optimization optimization NOUN asir-4814 258 18 problem problem NOUN asir-4814 258 19 by by ADP asir-4814 258 20 methods method NOUN asir-4814 258 21 of of ADP asir-4814 258 22 mathematical mathematical ADJ asir-4814 258 23 programming programming NOUN asir-4814 258 24 . . PUNCT asir-4814 259 1 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir PROPN asir-4814 259 2 applied apply VERB asir-4814 259 3 science science NOUN asir-4814 259 4 and and CCONJ asir-4814 259 5 innovative innovative ADJ asir-4814 259 6 research research NOUN asir-4814 259 7 vol vol NOUN asir-4814 259 8 . . PROPN asir-4814 260 1 6 6 NUM asir-4814 260 2 , , PUNCT asir-4814 260 3 no no INTJ asir-4814 260 4 . . NOUN asir-4814 260 5 2 2 NUM asir-4814 260 6 , , PUNCT asir-4814 260 7 2022 2022 NUM asir-4814 260 8 84 84 NUM asir-4814 260 9 published publish VERB asir-4814 260 10 by by ADP asir-4814 260 11 scholink scholink PROPN asir-4814 260 12 inc inc PROPN asir-4814 260 13 . . PROPN asir-4814 260 14 references references PROPN asir-4814 260 15 carrel carrel PROPN asir-4814 260 16 , , PUNCT asir-4814 260 17 r. r. PROPN asir-4814 260 18 l. l. PROPN asir-4814 260 19 ( ( PUNCT asir-4814 260 20 1961 1961 NUM asir-4814 260 21 ) ) PUNCT asir-4814 260 22 . . PUNCT asir-4814 261 1 the the DET asir-4814 261 2 design design NOUN asir-4814 261 3 of of ADP asir-4814 261 4 log log NOUN asir-4814 261 5 - - PUNCT asir-4814 261 6 periodic periodic ADJ asir-4814 261 7 dipole dipole NOUN asir-4814 261 8 antennas antenna NOUN asir-4814 261 9 . . PUNCT asir-4814 262 1 ire ire ADJ asir-4814 262 2 int int NOUN asir-4814 262 3 . . PUNCT asir-4814 263 1 convention convention NOUN asir-4814 263 2 record record NOUN asir-4814 263 3 , , PUNCT asir-4814 263 4 part part NOUN asir-4814 263 5 1 1 NUM asir-4814 263 6 , , PUNCT asir-4814 263 7 61 61 NUM asir-4814 263 8 - - SYM asir-4814 263 9 75 75 NUM asir-4814 263 10 . . PUNCT asir-4814 264 1 https://doi.org/10.1109/irecon.1961.1151016 https://doi.org/10.1109/irecon.1961.1151016 PROPN asir-4814 264 2 chaplin chaplin PROPN asir-4814 264 3 , , PUNCT asir-4814 264 4 a. a. PROPN asir-4814 264 5 f. f. PROPN asir-4814 264 6 ( ( PUNCT asir-4814 264 7 1969 1969 NUM asir-4814 264 8 ) ) PUNCT asir-4814 264 9 . . PUNCT asir-4814 265 1 synthesis synthesis NOUN asir-4814 265 2 of of ADP asir-4814 265 3 arrays array NOUN asir-4814 265 4 of of ADP asir-4814 265 5 passive passive ADJ asir-4814 265 6 radiators radiator NOUN asir-4814 265 7 . . PUNCT asir-4814 266 1 izvestiya izvestiya PROPN asir-4814 266 2 vuzov vuzov PROPN asir-4814 266 3 of of ADP asir-4814 266 4 ussr ussr ADJ asir-4814 266 5 -radioelectronics -radioelectronic NOUN asir-4814 266 6 , , PUNCT asir-4814 266 7 6 6 NUM asir-4814 266 8 , , PUNCT asir-4814 266 9 559 559 NUM asir-4814 266 10 - - SYM asir-4814 266 11 562 562 NUM asir-4814 266 12 . . PUNCT asir-4814 267 1 ( ( PUNCT asir-4814 267 2 in in ADP asir-4814 267 3 russian russian NOUN asir-4814 267 4 ) ) PUNCT asir-4814 267 5 . . PUNCT asir-4814 268 1 chaplin chaplin PROPN asir-4814 268 2 , , PUNCT asir-4814 268 3 a. a. PROPN asir-4814 268 4 f. f. PROPN asir-4814 268 5 , , PUNCT asir-4814 268 6 buchazky buchazky PROPN asir-4814 268 7 , , PUNCT asir-4814 268 8 m. m. NOUN asir-4814 268 9 d. d. PROPN asir-4814 268 10 , , PUNCT asir-4814 268 11 & & CCONJ asir-4814 268 12 mihailov mihailov PROPN asir-4814 268 13 , , PUNCT asir-4814 268 14 m. m. PROPN asir-4814 268 15 yu yu PROPN asir-4814 268 16 . . PUNCT asir-4814 268 17 ( ( PUNCT asir-4814 268 18 1983 1983 NUM asir-4814 268 19 ) ) PUNCT asir-4814 268 20 . . PUNCT asir-4814 269 1 optimization optimization NOUN asir-4814 269 2 of of ADP asir-4814 269 3 director director NOUN asir-4814 269 4 antennas antennas PROPN asir-4814 269 5 . . PUNCT asir-4814 270 1 radiotechnics radiotechnic NOUN asir-4814 270 2 , , PUNCT asir-4814 270 3 7 7 NUM asir-4814 270 4 , , PUNCT asir-4814 270 5 79 79 NUM asir-4814 270 6 - - SYM asir-4814 270 7 82 82 NUM asir-4814 270 8 . . PUNCT asir-4814 271 1 ( ( PUNCT asir-4814 271 2 in in ADP asir-4814 271 3 russian russian NOUN asir-4814 271 4 ) ) PUNCT asir-4814 271 5 . . PUNCT asir-4814 272 1 chen chen PROPN asir-4814 272 2 , , PUNCT asir-4814 272 3 c. c. PROPN asir-4814 272 4 a. a. PROPN asir-4814 272 5 , , PUNCT asir-4814 272 6 & & CCONJ asir-4814 272 7 cheng cheng PROPN asir-4814 272 8 , , PUNCT asir-4814 272 9 d. d. PROPN asir-4814 272 10 k. k. PROPN asir-4814 272 11 ( ( PUNCT asir-4814 272 12 1975 1975 NUM asir-4814 272 13 ) ) PUNCT asir-4814 272 14 . . PUNCT asir-4814 273 1 optimum optimum ADJ asir-4814 273 2 element element NOUN asir-4814 273 3 length length NOUN asir-4814 273 4 for for ADP asir-4814 273 5 yagi yagi NOUN asir-4814 273 6 - - PUNCT asir-4814 273 7 uda uda NOUN asir-4814 273 8 arrays array VERB asir-4814 273 9 . . PUNCT asir-4814 274 1 ieee ieee PROPN asir-4814 274 2 trans trans PROPN asir-4814 274 3 . . PUNCT asir-4814 275 1 antennas antennas PROPN asir-4814 275 2 propagation propagation NOUN asir-4814 275 3 , , PUNCT asir-4814 275 4 1 1 NUM asir-4814 275 5 , , PUNCT asir-4814 275 6 8 8 NUM asir-4814 275 7 - - SYM asir-4814 275 8 15 15 NUM asir-4814 275 9 . . PUNCT asir-4814 276 1 https://doi.org/10.1109/tap.1975.1141001 https://doi.org/10.1109/tap.1975.1141001 NOUN asir-4814 276 2 iossel iossel NOUN asir-4814 276 3 , , PUNCT asir-4814 276 4 yu yu PROPN asir-4814 276 5 . . PROPN asir-4814 276 6 ya ya PROPN asir-4814 276 7 . . PROPN asir-4814 276 8 , , PUNCT asir-4814 276 9 kochanov kochanov PROPN asir-4814 276 10 , , PUNCT asir-4814 276 11 e. e. PROPN asir-4814 276 12 s. s. PROPN asir-4814 276 13 , , PUNCT asir-4814 276 14 & & CCONJ asir-4814 276 15 strunsky strunsky PROPN asir-4814 276 16 , , PUNCT asir-4814 276 17 m. m. NOUN asir-4814 276 18 g. g. PROPN asir-4814 276 19 ( ( PUNCT asir-4814 276 20 1981 1981 NUM asir-4814 276 21 ) ) PUNCT asir-4814 276 22 . . PUNCT asir-4814 277 1 calculation calculation NOUN asir-4814 277 2 of of ADP asir-4814 277 3 electrical electrical ADJ asir-4814 277 4 capacitance capacitance NOUN asir-4814 277 5 . . PUNCT asir-4814 278 1 energoizdat energoizdat NOUN asir-4814 278 2 : : PUNCT asir-4814 279 1 leningrad leningrad PROPN asir-4814 279 2 . . PUNCT asir-4814 280 1 ( ( PUNCT asir-4814 280 2 in in ADP asir-4814 280 3 russian russian NOUN asir-4814 280 4 ) ) PUNCT asir-4814 280 5 . . PUNCT asir-4814 281 1 king king PROPN asir-4814 281 2 , , PUNCT asir-4814 281 3 r. r. PROPN asir-4814 281 4 w. w. PROPN asir-4814 281 5 p. p. PROPN asir-4814 281 6 , , PUNCT asir-4814 281 7 & & CCONJ asir-4814 281 8 harrison harrison PROPN asir-4814 281 9 ch ch PROPN asir-4814 281 10 . . PUNCT asir-4814 281 11 ( ( PUNCT asir-4814 281 12 1970 1970 NUM asir-4814 281 13 ) ) PUNCT asir-4814 281 14 . . PUNCT asir-4814 282 1 antennas antenna NOUN asir-4814 282 2 and and CCONJ asir-4814 282 3 waves wave NOUN asir-4814 282 4 , , PUNCT asir-4814 282 5 a a DET asir-4814 282 6 modern modern ADJ asir-4814 282 7 approach approach NOUN asir-4814 282 8 . . PUNCT asir-4814 283 1 mit mit PROPN asir-4814 283 2 press press PROPN asir-4814 283 3 . . PUNCT asir-4814 284 1 levin levin PROPN asir-4814 284 2 , , PUNCT asir-4814 284 3 b. b. PROPN asir-4814 284 4 m. m. PROPN asir-4814 284 5 ( ( PUNCT asir-4814 284 6 1998 1998 NUM asir-4814 284 7 ) ) PUNCT asir-4814 284 8 . . PUNCT asir-4814 285 1 monopole monopole NOUN asir-4814 285 2 and and CCONJ asir-4814 285 3 dipole dipole NOUN asir-4814 285 4 antennas antenna NOUN asir-4814 285 5 for for ADP asir-4814 285 6 ship ship NOUN asir-4814 285 7 radio radio NOUN asir-4814 285 8 communications communication NOUN asir-4814 285 9 . . PUNCT asir-4814 286 1 abris abris PROPN asir-4814 286 2 : : PUNCT asir-4814 286 3 st.-petersburg st.-petersburg NOUN asir-4814 286 4 . . PUNCT asir-4814 287 1 ( ( PUNCT asir-4814 287 2 in in ADP asir-4814 287 3 russian russian NOUN asir-4814 287 4 ) ) PUNCT asir-4814 287 5 . . PUNCT asir-4814 288 1 levin levin PROPN asir-4814 288 2 , , PUNCT asir-4814 288 3 b. b. PROPN asir-4814 288 4 m. m. PROPN asir-4814 288 5 ( ( PUNCT asir-4814 288 6 2017 2017 NUM asir-4814 288 7 ) ) PUNCT asir-4814 288 8 . . PUNCT asir-4814 289 1 antenna antenna NOUN asir-4814 289 2 engineering engineering NOUN asir-4814 289 3 : : PUNCT asir-4814 289 4 theory theory NOUN asir-4814 289 5 and and CCONJ asir-4814 289 6 problems problem NOUN asir-4814 289 7 . . PUNCT asir-4814 290 1 crc crc PROPN asir-4814 290 2 press press PROPN asir-4814 290 3 : : PUNCT asir-4814 290 4 london london PROPN asir-4814 290 5 , , PUNCT asir-4814 290 6 new new PROPN asir-4814 290 7 york york PROPN asir-4814 290 8 . . PUNCT asir-4814 291 1 levin levin PROPN asir-4814 291 2 , , PUNCT asir-4814 291 3 b. b. PROPN asir-4814 291 4 m. m. PROPN asir-4814 291 5 ( ( PUNCT asir-4814 291 6 2017 2017 NUM asir-4814 291 7 ) ) PUNCT asir-4814 291 8 . . PUNCT asir-4814 292 1 directional directional ADJ asir-4814 292 2 antennas antenna NOUN asir-4814 292 3 with with ADP asir-4814 292 4 in in ADP asir-4814 292 5 - - PUNCT asir-4814 292 6 phase phase NOUN asir-4814 292 7 currents current NOUN asir-4814 292 8 . . PUNCT asir-4814 293 1 proc proc NOUN asir-4814 293 2 . . PUNCT asir-4814 294 1 of of ADP asir-4814 294 2 11 11 NUM asir-4814 294 3 int int NOUN asir-4814 294 4 . . PUNCT asir-4814 295 1 conference conference NOUN asir-4814 295 2 on on ADP asir-4814 295 3 antenna antenna NOUN asir-4814 295 4 theory theory NOUN asir-4814 295 5 and and CCONJ asir-4814 295 6 techniques technique NOUN asir-4814 295 7 icatt’17 icatt’17 PROPN asir-4814 295 8 ( ( PUNCT asir-4814 295 9 kyiv kyiv ADJ asir-4814 295 10 , , PUNCT asir-4814 295 11 ukraine ukraine NOUN asir-4814 295 12 ) ) PUNCT asir-4814 295 13 , , PUNCT asir-4814 295 14 110 110 NUM asir-4814 295 15 - - SYM asir-4814 295 16 113 113 NUM asir-4814 295 17 . . PUNCT asir-4814 296 1 ( ( PUNCT asir-4814 296 2 in in ADP asir-4814 296 3 russian russian NOUN asir-4814 296 4 ) ) PUNCT asir-4814 296 5 . . PUNCT asir-4814 297 1 neyman neyman PROPN asir-4814 297 2 , , PUNCT asir-4814 297 3 l. l. PROPN asir-4814 297 4 r. r. PROPN asir-4814 297 5 , , PUNCT asir-4814 297 6 & & CCONJ asir-4814 297 7 kalantarov kalantarov PROPN asir-4814 297 8 , , PUNCT asir-4814 297 9 p. p. PROPN asir-4814 297 10 l. l. PROPN asir-4814 297 11 ( ( PUNCT asir-4814 297 12 1959 1959 NUM asir-4814 297 13 ) ) PUNCT asir-4814 297 14 . . PUNCT asir-4814 298 1 theoretical theoretical ADJ asir-4814 298 2 background background NOUN asir-4814 298 3 of of ADP asir-4814 298 4 electro electro ADJ asir-4814 298 5 engineering engineering NOUN asir-4814 298 6 , , PUNCT asir-4814 298 7 part part NOUN asir-4814 298 8 3 3 NUM asir-4814 298 9 . . PUNCT asir-4814 299 1 gosenergoizdat gosenergoizdat PROPN asir-4814 299 2 : : PUNCT asir-4814 299 3 moscow moscow PROPN asir-4814 299 4 , , PUNCT asir-4814 299 5 leningrad leningrad PROPN asir-4814 299 6 . . PUNCT asir-4814 300 1 ( ( PUNCT asir-4814 300 2 in in ADP asir-4814 300 3 russian russian NOUN asir-4814 300 4 ) ) PUNCT asir-4814 300 5 . . PUNCT asir-4814 301 1 pistolkors pistolkor NOUN asir-4814 301 2 , , PUNCT asir-4814 301 3 a. a. NOUN asir-4814 301 4 a. a. NOUN asir-4814 301 5 ( ( PUNCT asir-4814 301 6 1948 1948 NUM asir-4814 301 7 ) ) PUNCT asir-4814 301 8 . . PUNCT asir-4814 302 1 theory theory NOUN asir-4814 302 2 of of ADP asir-4814 302 3 the the DET asir-4814 302 4 circular circular ADJ asir-4814 302 5 diffraction diffraction NOUN asir-4814 302 6 antenna antenna NOUN asir-4814 302 7 . . PUNCT asir-4814 303 1 proc proc NOUN asir-4814 303 2 . . PUNCT asir-4814 304 1 of of ADP asir-4814 304 2 ire ire PROPN asir-4814 304 3 , , PUNCT asir-4814 304 4 1 1 NUM asir-4814 304 5 , , PUNCT asir-4814 304 6 56 56 NUM asir-4814 304 7 - - SYM asir-4814 304 8 60 60 NUM asir-4814 304 9 . . PUNCT asir-4814 305 1 https://doi.org/10.1109/jrproc.1948.230915 https://doi.org/10.1109/jrproc.1948.230915 PROPN asir-4814 305 2 yakovlev yakovlev PROPN asir-4814 305 3 , , PUNCT asir-4814 305 4 a. a. PROPN asir-4814 305 5 f. f. PROPN asir-4814 305 6 , , PUNCT asir-4814 305 7 & & CCONJ asir-4814 305 8 pyatnenkov pyatnenkov PROPN asir-4814 305 9 , , PUNCT asir-4814 305 10 a. a. PROPN asir-4814 305 11 e. e. PROPN asir-4814 305 12 ( ( PUNCT asir-4814 305 13 2007 2007 NUM asir-4814 305 14 ) ) PUNCT asir-4814 305 15 . . PUNCT asir-4814 306 1 wide wide ADJ asir-4814 306 2 - - PUNCT asir-4814 306 3 band band NOUN asir-4814 306 4 directional directional ADJ asir-4814 306 5 antennas antenna NOUN asir-4814 306 6 arrays array VERB asir-4814 306 7 of of ADP asir-4814 306 8 dipoles dipole NOUN asir-4814 306 9 . . PUNCT asir-4814 307 1 st.-petersburg st.-petersburg NOUN asir-4814 307 2 . . PUNCT asir-4814 308 1 ( ( PUNCT asir-4814 308 2 in in ADP asir-4814 308 3 russian russian NOUN asir-4814 308 4 ) ) PUNCT asir-4814 308 5 . . PUNCT asir-4814 309 1 http://ieeexplore.ieee.org.ezproxy.hit.ac.il/xpl/articledetails.jsp?tp=&arnumber=1697503&contenttype=journals+%26+magazines&searchfield%3dsearch_all%26querytext%3dpistolkors http://ieeexplore.ieee.org.ezproxy.hit.ac.il/xpl/articledetails.jsp?tp=&arnumber=1697503&contenttype=journals+%26+magazines&searchfield%3dsearch_all%26querytext%3dpistolkor NOUN